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Finding the Third Proportional to 535,368 and 807,588

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Solution

The third proportional to 535,368 and 807,588 is: 1,218,224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,368 : 807,588 = 807,588 : x
  2. Step 2: Convert to fraction form
    535,368/807,588 = 807,588/x
  3. Step 3: Cross multiply
    535,368x = 807,588 × 807,588
  4. Step 4: Simplify right side
    535,368x = 652,198,377,744
  5. Step 5: Solve for x
    x = 652,198,377,744/535,368
  6. Step 6: Final answer
    x = 1,218,224.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.