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Finding the Third Proportional to 487,336 and 731,004

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Solution

The third proportional to 487,336 and 731,004 is: 1,096,506

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,336 : 731,004 = 731,004 : x
  2. Step 2: Convert to fraction form
    487,336/731,004 = 731,004/x
  3. Step 3: Cross multiply
    487,336x = 731,004 × 731,004
  4. Step 4: Simplify right side
    487,336x = 534,366,848,016
  5. Step 5: Solve for x
    x = 534,366,848,016/487,336
  6. Step 6: Final answer
    x = 1,096,506

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.