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Finding the Third Proportional to 473,576 and 722,182

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Solution

The third proportional to 473,576 and 722,182 is: 1,101,294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,576 : 722,182 = 722,182 : x
  2. Step 2: Convert to fraction form
    473,576/722,182 = 722,182/x
  3. Step 3: Cross multiply
    473,576x = 722,182 × 722,182
  4. Step 4: Simplify right side
    473,576x = 521,546,841,124
  5. Step 5: Solve for x
    x = 521,546,841,124/473,576
  6. Step 6: Final answer
    x = 1,101,294.92

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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.