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Finding the Third Proportional to 522,979 and 807,536

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Solution

The third proportional to 522,979 and 807,536 is: 1,246,922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,979 : 807,536 = 807,536 : x
  2. Step 2: Convert to fraction form
    522,979/807,536 = 807,536/x
  3. Step 3: Cross multiply
    522,979x = 807,536 × 807,536
  4. Step 4: Simplify right side
    522,979x = 652,114,391,296
  5. Step 5: Solve for x
    x = 652,114,391,296/522,979
  6. Step 6: Final answer
    x = 1,246,922.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.