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Finding the Third Proportional to 327,801.94 and 506,262.66

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Solution

The third proportional to 327,801.94 and 506,262.66 is: 781,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,801.94 : 506,262.66 = 506,262.66 : x
  2. Step 2: Convert to fraction form
    327,801.94/506,262.66 = 506,262.66/x
  3. Step 3: Cross multiply
    327,801.94x = 506,262.66 × 506,262.66
  4. Step 4: Simplify right side
    327,801.94x = 256,301,877,113.31
  5. Step 5: Solve for x
    x = 256,301,877,113.31/327,801.94
  6. Step 6: Final answer
    x = 781,880.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.