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Finding the Third Proportional to 292,349,075 and 650,062,524

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Solution

The third proportional to 292,349,075 and 650,062,524 is: 1,445,468,179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,349,075 : 650,062,524 = 650,062,524 : x
  2. Step 2: Convert to fraction form
    292,349,075/650,062,524 = 650,062,524/x
  3. Step 3: Cross multiply
    292,349,075x = 650,062,524 × 650,062,524
  4. Step 4: Simplify right side
    292,349,075x = 422,581,285,109,250,560
  5. Step 5: Solve for x
    x = 422,581,285,109,250,560/292,349,075
  6. Step 6: Final answer
    x = 1,445,468,179.13

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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.