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Finding the Third Proportional to 708.00 and 1,041.17

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Solution

The third proportional to 708.00 and 1,041.17 is: 1,531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.00 : 1,041.17 = 1,041.17 : x
  2. Step 2: Convert to fraction form
    708.00/1,041.17 = 1,041.17/x
  3. Step 3: Cross multiply
    708.00x = 1,041.17 × 1,041.17
  4. Step 4: Simplify right side
    708.00x = 1,084,043.96
  5. Step 5: Solve for x
    x = 1,084,043.96/708.00
  6. Step 6: Final answer
    x = 1,531.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.