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Finding the Third Proportional to 641,772 and 997,758

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Solution

The third proportional to 641,772 and 997,758 is: 1,551,206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,772 : 997,758 = 997,758 : x
  2. Step 2: Convert to fraction form
    641,772/997,758 = 997,758/x
  3. Step 3: Cross multiply
    641,772x = 997,758 × 997,758
  4. Step 4: Simplify right side
    641,772x = 995,521,026,564
  5. Step 5: Solve for x
    x = 995,521,026,564/641,772
  6. Step 6: Final answer
    x = 1,551,206.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.