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Finding the Third Proportional to 410,125.88 and 885,679.50

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Solution

The third proportional to 410,125.88 and 885,679.50 is: 1,912,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,125.88 : 885,679.50 = 885,679.50 : x
  2. Step 2: Convert to fraction form
    410,125.88/885,679.50 = 885,679.50/x
  3. Step 3: Cross multiply
    410,125.88x = 885,679.50 × 885,679.50
  4. Step 4: Simplify right side
    410,125.88x = 784,428,176,720.25
  5. Step 5: Solve for x
    x = 784,428,176,720.25/410,125.88
  6. Step 6: Final answer
    x = 1,912,652.25

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Why These Related Problems?

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