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Finding the Third Proportional to 338,320.13 and 729,528.19

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Solution

The third proportional to 338,320.13 and 729,528.19 is: 1,573,099.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,320.13 : 729,528.19 = 729,528.19 : x
  2. Step 2: Convert to fraction form
    338,320.13/729,528.19 = 729,528.19/x
  3. Step 3: Cross multiply
    338,320.13x = 729,528.19 × 729,528.19
  4. Step 4: Simplify right side
    338,320.13x = 532,211,376,357.04
  5. Step 5: Solve for x
    x = 532,211,376,357.04/338,320.13
  6. Step 6: Final answer
    x = 1,573,099.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.