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Finding the Third Proportional to 452,729.25 and 612,663.75

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Solution

The third proportional to 452,729.25 and 612,663.75 is: 829,097.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,729.25 : 612,663.75 = 612,663.75 : x
  2. Step 2: Convert to fraction form
    452,729.25/612,663.75 = 612,663.75/x
  3. Step 3: Cross multiply
    452,729.25x = 612,663.75 × 612,663.75
  4. Step 4: Simplify right side
    452,729.25x = 375,356,870,564.06
  5. Step 5: Solve for x
    x = 375,356,870,564.06/452,729.25
  6. Step 6: Final answer
    x = 829,097.90

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.