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Finding the Third Proportional to 632 and 702.50

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Solution

The third proportional to 632 and 702.50 is: 780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    632 : 702.50 = 702.50 : x
  2. Step 2: Convert to fraction form
    632/702.50 = 702.50/x
  3. Step 3: Cross multiply
    632x = 702.50 × 702.50
  4. Step 4: Simplify right side
    632x = 493,506.25
  5. Step 5: Solve for x
    x = 493,506.25/632
  6. Step 6: Final answer
    x = 780.86

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.