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Finding the Third Proportional to 630.28 and 1,041.61

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Solution

The third proportional to 630.28 and 1,041.61 is: 1,721.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.28 : 1,041.61 = 1,041.61 : x
  2. Step 2: Convert to fraction form
    630.28/1,041.61 = 1,041.61/x
  3. Step 3: Cross multiply
    630.28x = 1,041.61 × 1,041.61
  4. Step 4: Simplify right side
    630.28x = 1,084,950.09
  5. Step 5: Solve for x
    x = 1,084,950.09/630.28
  6. Step 6: Final answer
    x = 1,721.37

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.