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Finding the Third Proportional to 542.50 and 653.50

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Solution

The third proportional to 542.50 and 653.50 is: 787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.50 : 653.50 = 653.50 : x
  2. Step 2: Convert to fraction form
    542.50/653.50 = 653.50/x
  3. Step 3: Cross multiply
    542.50x = 653.50 × 653.50
  4. Step 4: Simplify right side
    542.50x = 427,062.25
  5. Step 5: Solve for x
    x = 427,062.25/542.50
  6. Step 6: Final answer
    x = 787.21

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.