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Finding the Third Proportional to 652,000 and 997,372

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Solution

The third proportional to 652,000 and 997,372 is: 1,525,691.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,000 : 997,372 = 997,372 : x
  2. Step 2: Convert to fraction form
    652,000/997,372 = 997,372/x
  3. Step 3: Cross multiply
    652,000x = 997,372 × 997,372
  4. Step 4: Simplify right side
    652,000x = 994,750,906,384
  5. Step 5: Solve for x
    x = 994,750,906,384/652,000
  6. Step 6: Final answer
    x = 1,525,691.57

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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.