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Finding the Third Proportional to 738.49 and 1,592.79

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Solution

The third proportional to 738.49 and 1,592.79 is: 3,435.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.49 : 1,592.79 = 1,592.79 : x
  2. Step 2: Convert to fraction form
    738.49/1,592.79 = 1,592.79/x
  3. Step 3: Cross multiply
    738.49x = 1,592.79 × 1,592.79
  4. Step 4: Simplify right side
    738.49x = 2,536,977.00
  5. Step 5: Solve for x
    x = 2,536,977.00/738.49
  6. Step 6: Final answer
    x = 3,435.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.