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Finding the Third Proportional to 615.75 and 924.23

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Solution

The third proportional to 615.75 and 924.23 is: 1,387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.75 : 924.23 = 924.23 : x
  2. Step 2: Convert to fraction form
    615.75/924.23 = 924.23/x
  3. Step 3: Cross multiply
    615.75x = 924.23 × 924.23
  4. Step 4: Simplify right side
    615.75x = 854,209.18
  5. Step 5: Solve for x
    x = 854,209.18/615.75
  6. Step 6: Final answer
    x = 1,387.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.