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Finding the Third Proportional to 589.50 and 1,387.13

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Solution

The third proportional to 589.50 and 1,387.13 is: 3,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.50 : 1,387.13 = 1,387.13 : x
  2. Step 2: Convert to fraction form
    589.50/1,387.13 = 1,387.13/x
  3. Step 3: Cross multiply
    589.50x = 1,387.13 × 1,387.13
  4. Step 4: Simplify right side
    589.50x = 1,924,115.77
  5. Step 5: Solve for x
    x = 1,924,115.77/589.50
  6. Step 6: Final answer
    x = 3,263.98

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.