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Finding the Third Proportional to 591,552 and 917,676

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Solution

The third proportional to 591,552 and 917,676 is: 1,423,592.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,552 : 917,676 = 917,676 : x
  2. Step 2: Convert to fraction form
    591,552/917,676 = 917,676/x
  3. Step 3: Cross multiply
    591,552x = 917,676 × 917,676
  4. Step 4: Simplify right side
    591,552x = 842,129,240,976
  5. Step 5: Solve for x
    x = 842,129,240,976/591,552
  6. Step 6: Final answer
    x = 1,423,592.92

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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.