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Finding the Third Proportional to 387,676.13 and 566,478.56

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Solution

The third proportional to 387,676.13 and 566,478.56 is: 827,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,676.13 : 566,478.56 = 566,478.56 : x
  2. Step 2: Convert to fraction form
    387,676.13/566,478.56 = 566,478.56/x
  3. Step 3: Cross multiply
    387,676.13x = 566,478.56 × 566,478.56
  4. Step 4: Simplify right side
    387,676.13x = 320,897,961,772.07
  5. Step 5: Solve for x
    x = 320,897,961,772.07/387,676.13
  6. Step 6: Final answer
    x = 827,747.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.