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Finding the Third Proportional to 508,750 and 809,832

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Solution

The third proportional to 508,750 and 809,832 is: 1,289,096.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,750 : 809,832 = 809,832 : x
  2. Step 2: Convert to fraction form
    508,750/809,832 = 809,832/x
  3. Step 3: Cross multiply
    508,750x = 809,832 × 809,832
  4. Step 4: Simplify right side
    508,750x = 655,827,868,224
  5. Step 5: Solve for x
    x = 655,827,868,224/508,750
  6. Step 6: Final answer
    x = 1,289,096.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.