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Finding the Third Proportional to 387,042.75 and 586,404

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Solution

The third proportional to 387,042.75 and 586,404 is: 888,453.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,042.75 : 586,404 = 586,404 : x
  2. Step 2: Convert to fraction form
    387,042.75/586,404 = 586,404/x
  3. Step 3: Cross multiply
    387,042.75x = 586,404 × 586,404
  4. Step 4: Simplify right side
    387,042.75x = 343,869,651,216
  5. Step 5: Solve for x
    x = 343,869,651,216/387,042.75
  6. Step 6: Final answer
    x = 888,453.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.