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Finding the Third Proportional to 403,770 and 586,860

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Solution

The third proportional to 403,770 and 586,860 is: 852,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,770 : 586,860 = 586,860 : x
  2. Step 2: Convert to fraction form
    403,770/586,860 = 586,860/x
  3. Step 3: Cross multiply
    403,770x = 586,860 × 586,860
  4. Step 4: Simplify right side
    403,770x = 344,404,659,600
  5. Step 5: Solve for x
    x = 344,404,659,600/403,770
  6. Step 6: Final answer
    x = 852,972.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.