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Finding the Third Proportional to 361,801.88 and 531,862.31

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Solution

The third proportional to 361,801.88 and 531,862.31 is: 781,857.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,801.88 : 531,862.31 = 531,862.31 : x
  2. Step 2: Convert to fraction form
    361,801.88/531,862.31 = 531,862.31/x
  3. Step 3: Cross multiply
    361,801.88x = 531,862.31 × 531,862.31
  4. Step 4: Simplify right side
    361,801.88x = 282,877,519,457.85
  5. Step 5: Solve for x
    x = 282,877,519,457.85/361,801.88
  6. Step 6: Final answer
    x = 781,857.53

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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.