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Finding the Third Proportional to 652,292 and 997,892

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Solution

The third proportional to 652,292 and 997,892 is: 1,526,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,292 : 997,892 = 997,892 : x
  2. Step 2: Convert to fraction form
    652,292/997,892 = 997,892/x
  3. Step 3: Cross multiply
    652,292x = 997,892 × 997,892
  4. Step 4: Simplify right side
    652,292x = 995,788,443,664
  5. Step 5: Solve for x
    x = 995,788,443,664/652,292
  6. Step 6: Final answer
    x = 1,526,599.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.