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Finding the Third Proportional to 292,118 and 598,052

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Solution

The third proportional to 292,118 and 598,052 is: 1,224,389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,118 : 598,052 = 598,052 : x
  2. Step 2: Convert to fraction form
    292,118/598,052 = 598,052/x
  3. Step 3: Cross multiply
    292,118x = 598,052 × 598,052
  4. Step 4: Simplify right side
    292,118x = 357,666,194,704
  5. Step 5: Solve for x
    x = 357,666,194,704/292,118
  6. Step 6: Final answer
    x = 1,224,389.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.