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Finding the Third Proportional to 292,348,257.75 and 650,060,974.13

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Solution

The third proportional to 292,348,257.75 and 650,060,974.13 is: 1,445,465,327.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,348,257.75 : 650,060,974.13 = 650,060,974.13 : x
  2. Step 2: Convert to fraction form
    292,348,257.75/650,060,974.13 = 650,060,974.13/x
  3. Step 3: Cross multiply
    292,348,257.75x = 650,060,974.13 × 650,060,974.13
  4. Step 4: Simplify right side
    292,348,257.75x = 422,579,270,080,343,936
  5. Step 5: Solve for x
    x = 422,579,270,080,343,936/292,348,257.75
  6. Step 6: Final answer
    x = 1,445,465,327.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.