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Finding the Third Proportional to 387.38 and 595.50

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Solution

The third proportional to 387.38 and 595.50 is: 915.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.38 : 595.50 = 595.50 : x
  2. Step 2: Convert to fraction form
    387.38/595.50 = 595.50/x
  3. Step 3: Cross multiply
    387.38x = 595.50 × 595.50
  4. Step 4: Simplify right side
    387.38x = 354,620.25
  5. Step 5: Solve for x
    x = 354,620.25/387.38
  6. Step 6: Final answer
    x = 915.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.