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Finding the Third Proportional to 323,842,134 and 497,457,171

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Solution

The third proportional to 323,842,134 and 497,457,171 is: 764,148,981.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,842,134 : 497,457,171 = 497,457,171 : x
  2. Step 2: Convert to fraction form
    323,842,134/497,457,171 = 497,457,171/x
  3. Step 3: Cross multiply
    323,842,134x = 497,457,171 × 497,457,171
  4. Step 4: Simplify right side
    323,842,134x = 247,463,636,979,323,232
  5. Step 5: Solve for x
    x = 247,463,636,979,323,232/323,842,134
  6. Step 6: Final answer
    x = 764,148,981.86

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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.