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Finding the Third Proportional to 387,133.17 and 587,260.76

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Solution

The third proportional to 387,133.17 and 587,260.76 is: 890,843.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,133.17 : 587,260.76 = 587,260.76 : x
  2. Step 2: Convert to fraction form
    387,133.17/587,260.76 = 587,260.76/x
  3. Step 3: Cross multiply
    387,133.17x = 587,260.76 × 587,260.76
  4. Step 4: Simplify right side
    387,133.17x = 344,875,197,666.51
  5. Step 5: Solve for x
    x = 344,875,197,666.51/387,133.17
  6. Step 6: Final answer
    x = 890,843.83

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Why These Related Problems?

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