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Finding the Third Proportional to 387,595.13 and 566,083.69

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Solution

The third proportional to 387,595.13 and 566,083.69 is: 826,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,595.13 : 566,083.69 = 566,083.69 : x
  2. Step 2: Convert to fraction form
    387,595.13/566,083.69 = 566,083.69/x
  3. Step 3: Cross multiply
    387,595.13x = 566,083.69 × 566,083.69
  4. Step 4: Simplify right side
    387,595.13x = 320,450,741,253.60
  5. Step 5: Solve for x
    x = 320,450,741,253.60/387,595.13
  6. Step 6: Final answer
    x = 826,766.70

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