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Finding the Third Proportional to 738.49 and 1,053.63

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Solution

The third proportional to 738.49 and 1,053.63 is: 1,503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.49 : 1,053.63 = 1,053.63 : x
  2. Step 2: Convert to fraction form
    738.49/1,053.63 = 1,053.63/x
  3. Step 3: Cross multiply
    738.49x = 1,053.63 × 1,053.63
  4. Step 4: Simplify right side
    738.49x = 1,110,142.10
  5. Step 5: Solve for x
    x = 1,110,142.10/738.49
  6. Step 6: Final answer
    x = 1,503.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.