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Finding the Third Proportional to 387,178 and 586,594

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Solution

The third proportional to 387,178 and 586,594 is: 888,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,178 : 586,594 = 586,594 : x
  2. Step 2: Convert to fraction form
    387,178/586,594 = 586,594/x
  3. Step 3: Cross multiply
    387,178x = 586,594 × 586,594
  4. Step 4: Simplify right side
    387,178x = 344,092,520,836
  5. Step 5: Solve for x
    x = 344,092,520,836/387,178
  6. Step 6: Final answer
    x = 888,719.20

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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.