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Finding the Third Proportional to 458 and 710.50

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Solution

The third proportional to 458 and 710.50 is: 1,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458 : 710.50 = 710.50 : x
  2. Step 2: Convert to fraction form
    458/710.50 = 710.50/x
  3. Step 3: Cross multiply
    458x = 710.50 × 710.50
  4. Step 4: Simplify right side
    458x = 504,810.25
  5. Step 5: Solve for x
    x = 504,810.25/458
  6. Step 6: Final answer
    x = 1,102.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.