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Finding the Third Proportional to 652,001 and 997,374

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Solution

The third proportional to 652,001 and 997,374 is: 1,525,695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,001 : 997,374 = 997,374 : x
  2. Step 2: Convert to fraction form
    652,001/997,374 = 997,374/x
  3. Step 3: Cross multiply
    652,001x = 997,374 × 997,374
  4. Step 4: Simplify right side
    652,001x = 994,754,895,876
  5. Step 5: Solve for x
    x = 994,754,895,876/652,001
  6. Step 6: Final answer
    x = 1,525,695.35

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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.