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Finding the Third Proportional to 323,814,400 and 497,418,552

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Solution

The third proportional to 323,814,400 and 497,418,552 is: 764,095,777.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,814,400 : 497,418,552 = 497,418,552 : x
  2. Step 2: Convert to fraction form
    323,814,400/497,418,552 = 497,418,552/x
  3. Step 3: Cross multiply
    323,814,400x = 497,418,552 × 497,418,552
  4. Step 4: Simplify right side
    323,814,400x = 247,425,215,873,776,704
  5. Step 5: Solve for x
    x = 247,425,215,873,776,704/323,814,400
  6. Step 6: Final answer
    x = 764,095,777.93

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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.