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Finding the Third Proportional to 738,205.50 and 1,138,791

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Solution

The third proportional to 738,205.50 and 1,138,791 is: 1,756,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,205.50 : 1,138,791 = 1,138,791 : x
  2. Step 2: Convert to fraction form
    738,205.50/1,138,791 = 1,138,791/x
  3. Step 3: Cross multiply
    738,205.50x = 1,138,791 × 1,138,791
  4. Step 4: Simplify right side
    738,205.50x = 1,296,844,941,681
  5. Step 5: Solve for x
    x = 1,296,844,941,681/738,205.50
  6. Step 6: Final answer
    x = 1,756,753.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.