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Finding the Third Proportional to 387,061 and 586,425

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Solution

The third proportional to 387,061 and 586,425 is: 888,475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,061 : 586,425 = 586,425 : x
  2. Step 2: Convert to fraction form
    387,061/586,425 = 586,425/x
  3. Step 3: Cross multiply
    387,061x = 586,425 × 586,425
  4. Step 4: Simplify right side
    387,061x = 343,894,280,625
  5. Step 5: Solve for x
    x = 343,894,280,625/387,061
  6. Step 6: Final answer
    x = 888,475.67

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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.