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Finding the Third Proportional to 473,574 and 722,181

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Solution

The third proportional to 473,574 and 722,181 is: 1,101,296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,574 : 722,181 = 722,181 : x
  2. Step 2: Convert to fraction form
    473,574/722,181 = 722,181/x
  3. Step 3: Cross multiply
    473,574x = 722,181 × 722,181
  4. Step 4: Simplify right side
    473,574x = 521,545,396,761
  5. Step 5: Solve for x
    x = 521,545,396,761/473,574
  6. Step 6: Final answer
    x = 1,101,296.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.