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Finding the Third Proportional to 333,659.53 and 517,076.58

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Solution

The third proportional to 333,659.53 and 517,076.58 is: 801,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,659.53 : 517,076.58 = 517,076.58 : x
  2. Step 2: Convert to fraction form
    333,659.53/517,076.58 = 517,076.58/x
  3. Step 3: Cross multiply
    333,659.53x = 517,076.58 × 517,076.58
  4. Step 4: Simplify right side
    333,659.53x = 267,368,187,645.46
  5. Step 5: Solve for x
    x = 267,368,187,645.46/333,659.53
  6. Step 6: Final answer
    x = 801,320.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.