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Finding the Third Proportional to 652.43 and 1,009.79

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Solution

The third proportional to 652.43 and 1,009.79 is: 1,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.43 : 1,009.79 = 1,009.79 : x
  2. Step 2: Convert to fraction form
    652.43/1,009.79 = 1,009.79/x
  3. Step 3: Cross multiply
    652.43x = 1,009.79 × 1,009.79
  4. Step 4: Simplify right side
    652.43x = 1,019,681.84
  5. Step 5: Solve for x
    x = 1,019,681.84/652.43
  6. Step 6: Final answer
    x = 1,562.90

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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.