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Finding the Third Proportional to 652.59 and 1,010.53

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Solution

The third proportional to 652.59 and 1,010.53 is: 1,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.59 : 1,010.53 = 1,010.53 : x
  2. Step 2: Convert to fraction form
    652.59/1,010.53 = 1,010.53/x
  3. Step 3: Cross multiply
    652.59x = 1,010.53 × 1,010.53
  4. Step 4: Simplify right side
    652.59x = 1,021,173.41
  5. Step 5: Solve for x
    x = 1,021,173.41/652.59
  6. Step 6: Final answer
    x = 1,564.79

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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.