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Finding the Third Proportional to 508.50 and 714.13

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Solution

The third proportional to 508.50 and 714.13 is: 1,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.50 : 714.13 = 714.13 : x
  2. Step 2: Convert to fraction form
    508.50/714.13 = 714.13/x
  3. Step 3: Cross multiply
    508.50x = 714.13 × 714.13
  4. Step 4: Simplify right side
    508.50x = 509,974.52
  5. Step 5: Solve for x
    x = 509,974.52/508.50
  6. Step 6: Final answer
    x = 1,002.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.