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Finding the Third Proportional to 331,930,294 and 487,133,744

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Solution

The third proportional to 331,930,294 and 487,133,744 is: 714,906,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,930,294 : 487,133,744 = 487,133,744 : x
  2. Step 2: Convert to fraction form
    331,930,294/487,133,744 = 487,133,744/x
  3. Step 3: Cross multiply
    331,930,294x = 487,133,744 × 487,133,744
  4. Step 4: Simplify right side
    331,930,294x = 237,299,284,543,457,536
  5. Step 5: Solve for x
    x = 237,299,284,543,457,536/331,930,294
  6. Step 6: Final answer
    x = 714,906,981.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.