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Finding the Third Proportional to 274,799,524 and 592,645,796

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Solution

The third proportional to 274,799,524 and 592,645,796 is: 1,278,128,267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,799,524 : 592,645,796 = 592,645,796 : x
  2. Step 2: Convert to fraction form
    274,799,524/592,645,796 = 592,645,796/x
  3. Step 3: Cross multiply
    274,799,524x = 592,645,796 × 592,645,796
  4. Step 4: Simplify right side
    274,799,524x = 351,229,039,516,473,600
  5. Step 5: Solve for x
    x = 351,229,039,516,473,600/274,799,524
  6. Step 6: Final answer
    x = 1,278,128,267.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.