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Finding the Third Proportional to 359,397,947.25 and 537,116,082.75

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Solution

The third proportional to 359,397,947.25 and 537,116,082.75 is: 802,713,784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,397,947.25 : 537,116,082.75 = 537,116,082.75 : x
  2. Step 2: Convert to fraction form
    359,397,947.25/537,116,082.75 = 537,116,082.75/x
  3. Step 3: Cross multiply
    359,397,947.25x = 537,116,082.75 × 537,116,082.75
  4. Step 4: Simplify right side
    359,397,947.25x = 288,493,686,348,704,832
  5. Step 5: Solve for x
    x = 288,493,686,348,704,832/359,397,947.25
  6. Step 6: Final answer
    x = 802,713,784.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.