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Finding the Third Proportional to 361,822 and 531,880

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Solution

The third proportional to 361,822 and 531,880 is: 781,866.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,822 : 531,880 = 531,880 : x
  2. Step 2: Convert to fraction form
    361,822/531,880 = 531,880/x
  3. Step 3: Cross multiply
    361,822x = 531,880 × 531,880
  4. Step 4: Simplify right side
    361,822x = 282,896,334,400
  5. Step 5: Solve for x
    x = 282,896,334,400/361,822
  6. Step 6: Final answer
    x = 781,866.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.