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Finding the Third Proportional to 587,688 and 872,892

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Solution

The third proportional to 587,688 and 872,892 is: 1,296,505.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,688 : 872,892 = 872,892 : x
  2. Step 2: Convert to fraction form
    587,688/872,892 = 872,892/x
  3. Step 3: Cross multiply
    587,688x = 872,892 × 872,892
  4. Step 4: Simplify right side
    587,688x = 761,940,443,664
  5. Step 5: Solve for x
    x = 761,940,443,664/587,688
  6. Step 6: Final answer
    x = 1,296,505.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.