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Finding the Third Proportional to 387,009 and 586,352

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Solution

The third proportional to 387,009 and 586,352 is: 888,373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,009 : 586,352 = 586,352 : x
  2. Step 2: Convert to fraction form
    387,009/586,352 = 586,352/x
  3. Step 3: Cross multiply
    387,009x = 586,352 × 586,352
  4. Step 4: Simplify right side
    387,009x = 343,808,667,904
  5. Step 5: Solve for x
    x = 343,808,667,904/387,009
  6. Step 6: Final answer
    x = 888,373.83

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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.