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Finding the Third Proportional to 615,524 and 920,824

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Solution

The third proportional to 615,524 and 920,824 is: 1,377,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,524 : 920,824 = 920,824 : x
  2. Step 2: Convert to fraction form
    615,524/920,824 = 920,824/x
  3. Step 3: Cross multiply
    615,524x = 920,824 × 920,824
  4. Step 4: Simplify right side
    615,524x = 847,916,838,976
  5. Step 5: Solve for x
    x = 847,916,838,976/615,524
  6. Step 6: Final answer
    x = 1,377,552.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.