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Finding the Third Proportional to 484,704.75 and 740,179.13

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Solution

The third proportional to 484,704.75 and 740,179.13 is: 1,130,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,704.75 : 740,179.13 = 740,179.13 : x
  2. Step 2: Convert to fraction form
    484,704.75/740,179.13 = 740,179.13/x
  3. Step 3: Cross multiply
    484,704.75x = 740,179.13 × 740,179.13
  4. Step 4: Simplify right side
    484,704.75x = 547,865,137,085.77
  5. Step 5: Solve for x
    x = 547,865,137,085.77/484,704.75
  6. Step 6: Final answer
    x = 1,130,306.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.