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Finding the Third Proportional to 480,701 and 754,050

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Solution

The third proportional to 480,701 and 754,050 is: 1,182,837.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,701 : 754,050 = 754,050 : x
  2. Step 2: Convert to fraction form
    480,701/754,050 = 754,050/x
  3. Step 3: Cross multiply
    480,701x = 754,050 × 754,050
  4. Step 4: Simplify right side
    480,701x = 568,591,402,500
  5. Step 5: Solve for x
    x = 568,591,402,500/480,701
  6. Step 6: Final answer
    x = 1,182,837.99

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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.