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Finding the Third Proportional to 361,777.64 and 531,828.28

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Solution

The third proportional to 361,777.64 and 531,828.28 is: 781,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,777.64 : 531,828.28 = 531,828.28 : x
  2. Step 2: Convert to fraction form
    361,777.64/531,828.28 = 531,828.28/x
  3. Step 3: Cross multiply
    361,777.64x = 531,828.28 × 531,828.28
  4. Step 4: Simplify right side
    361,777.64x = 282,841,320,737.33
  5. Step 5: Solve for x
    x = 282,841,320,737.33/361,777.64
  6. Step 6: Final answer
    x = 781,809.84

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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.