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Finding the Third Proportional to 481,140.75 and 748,501.88

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Solution

The third proportional to 481,140.75 and 748,501.88 is: 1,164,430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,140.75 : 748,501.88 = 748,501.88 : x
  2. Step 2: Convert to fraction form
    481,140.75/748,501.88 = 748,501.88/x
  3. Step 3: Cross multiply
    481,140.75x = 748,501.88 × 748,501.88
  4. Step 4: Simplify right side
    481,140.75x = 560,255,056,878.52
  5. Step 5: Solve for x
    x = 560,255,056,878.52/481,140.75
  6. Step 6: Final answer
    x = 1,164,430.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.