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Finding the Third Proportional to 473,571 and 722,175.75

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Solution

The third proportional to 473,571 and 722,175.75 is: 1,101,287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,571 : 722,175.75 = 722,175.75 : x
  2. Step 2: Convert to fraction form
    473,571/722,175.75 = 722,175.75/x
  3. Step 3: Cross multiply
    473,571x = 722,175.75 × 722,175.75
  4. Step 4: Simplify right side
    473,571x = 521,537,813,888.06
  5. Step 5: Solve for x
    x = 521,537,813,888.06/473,571
  6. Step 6: Final answer
    x = 1,101,287.48

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