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Finding the Third Proportional to 408,438.07 and 887,715.07

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Solution

The third proportional to 408,438.07 and 887,715.07 is: 1,929,394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,438.07 : 887,715.07 = 887,715.07 : x
  2. Step 2: Convert to fraction form
    408,438.07/887,715.07 = 887,715.07/x
  3. Step 3: Cross multiply
    408,438.07x = 887,715.07 × 887,715.07
  4. Step 4: Simplify right side
    408,438.07x = 788,038,046,059.93
  5. Step 5: Solve for x
    x = 788,038,046,059.93/408,438.07
  6. Step 6: Final answer
    x = 1,929,394.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.