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Finding the Third Proportional to 480,701.25 and 754,050.75

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Solution

The third proportional to 480,701.25 and 754,050.75 is: 1,182,839.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,701.25 : 754,050.75 = 754,050.75 : x
  2. Step 2: Convert to fraction form
    480,701.25/754,050.75 = 754,050.75/x
  3. Step 3: Cross multiply
    480,701.25x = 754,050.75 × 754,050.75
  4. Step 4: Simplify right side
    480,701.25x = 568,592,533,575.56
  5. Step 5: Solve for x
    x = 568,592,533,575.56/480,701.25
  6. Step 6: Final answer
    x = 1,182,839.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.