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Finding the Third Proportional to 484,165.69 and 747,079.03

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Solution

The third proportional to 484,165.69 and 747,079.03 is: 1,152,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,165.69 : 747,079.03 = 747,079.03 : x
  2. Step 2: Convert to fraction form
    484,165.69/747,079.03 = 747,079.03/x
  3. Step 3: Cross multiply
    484,165.69x = 747,079.03 × 747,079.03
  4. Step 4: Simplify right side
    484,165.69x = 558,127,078,933.44
  5. Step 5: Solve for x
    x = 558,127,078,933.44/484,165.69
  6. Step 6: Final answer
    x = 1,152,760.50

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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.