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Finding the Third Proportional to 419,711.25 and 899,307.75

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Solution

The third proportional to 419,711.25 and 899,307.75 is: 1,926,930.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,711.25 : 899,307.75 = 899,307.75 : x
  2. Step 2: Convert to fraction form
    419,711.25/899,307.75 = 899,307.75/x
  3. Step 3: Cross multiply
    419,711.25x = 899,307.75 × 899,307.75
  4. Step 4: Simplify right side
    419,711.25x = 808,754,429,210.06
  5. Step 5: Solve for x
    x = 808,754,429,210.06/419,711.25
  6. Step 6: Final answer
    x = 1,926,930.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.