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Finding the Third Proportional to 652,098 and 997,597

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Solution

The third proportional to 652,098 and 997,597 is: 1,526,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,098 : 997,597 = 997,597 : x
  2. Step 2: Convert to fraction form
    652,098/997,597 = 997,597/x
  3. Step 3: Cross multiply
    652,098x = 997,597 × 997,597
  4. Step 4: Simplify right side
    652,098x = 995,199,774,409
  5. Step 5: Solve for x
    x = 995,199,774,409/652,098
  6. Step 6: Final answer
    x = 1,526,150.63

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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.