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Finding the Third Proportional to 411,225.75 and 917,004.75

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Solution

The third proportional to 411,225.75 and 917,004.75 is: 2,044,856.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,225.75 : 917,004.75 = 917,004.75 : x
  2. Step 2: Convert to fraction form
    411,225.75/917,004.75 = 917,004.75/x
  3. Step 3: Cross multiply
    411,225.75x = 917,004.75 × 917,004.75
  4. Step 4: Simplify right side
    411,225.75x = 840,897,711,522.56
  5. Step 5: Solve for x
    x = 840,897,711,522.56/411,225.75
  6. Step 6: Final answer
    x = 2,044,856.65

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.