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Finding the Third Proportional to 539,765,627.50 and 829,290,231

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Solution

The third proportional to 539,765,627.50 and 829,290,231 is: 1,274,112,785.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,765,627.50 : 829,290,231 = 829,290,231 : x
  2. Step 2: Convert to fraction form
    539,765,627.50/829,290,231 = 829,290,231/x
  3. Step 3: Cross multiply
    539,765,627.50x = 829,290,231 × 829,290,231
  4. Step 4: Simplify right side
    539,765,627.50x = 687,722,287,232,033,408
  5. Step 5: Solve for x
    x = 687,722,287,232,033,408/539,765,627.50
  6. Step 6: Final answer
    x = 1,274,112,785.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.