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Finding the Third Proportional to 522,566 and 807,623

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Solution

The third proportional to 522,566 and 807,623 is: 1,248,177.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,566 : 807,623 = 807,623 : x
  2. Step 2: Convert to fraction form
    522,566/807,623 = 807,623/x
  3. Step 3: Cross multiply
    522,566x = 807,623 × 807,623
  4. Step 4: Simplify right side
    522,566x = 652,254,910,129
  5. Step 5: Solve for x
    x = 652,254,910,129/522,566
  6. Step 6: Final answer
    x = 1,248,177.09

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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.