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Finding the Third Proportional to 738.84 and 1,084.92

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Solution

The third proportional to 738.84 and 1,084.92 is: 1,593.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.84 : 1,084.92 = 1,084.92 : x
  2. Step 2: Convert to fraction form
    738.84/1,084.92 = 1,084.92/x
  3. Step 3: Cross multiply
    738.84x = 1,084.92 × 1,084.92
  4. Step 4: Simplify right side
    738.84x = 1,177,055.47
  5. Step 5: Solve for x
    x = 1,177,055.47/738.84
  6. Step 6: Final answer
    x = 1,593.10

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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.