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Finding the Third Proportional to 398,121 and 866,224.50

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Solution

The third proportional to 398,121 and 866,224.50 is: 1,884,715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,121 : 866,224.50 = 866,224.50 : x
  2. Step 2: Convert to fraction form
    398,121/866,224.50 = 866,224.50/x
  3. Step 3: Cross multiply
    398,121x = 866,224.50 × 866,224.50
  4. Step 4: Simplify right side
    398,121x = 750,344,884,400.25
  5. Step 5: Solve for x
    x = 750,344,884,400.25/398,121
  6. Step 6: Final answer
    x = 1,884,715.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.