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Finding the Third Proportional to 333,775.97 and 517,156.03

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Solution

The third proportional to 333,775.97 and 517,156.03 is: 801,287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,775.97 : 517,156.03 = 517,156.03 : x
  2. Step 2: Convert to fraction form
    333,775.97/517,156.03 = 517,156.03/x
  3. Step 3: Cross multiply
    333,775.97x = 517,156.03 × 517,156.03
  4. Step 4: Simplify right side
    333,775.97x = 267,450,360,658.25
  5. Step 5: Solve for x
    x = 267,450,360,658.25/333,775.97
  6. Step 6: Final answer
    x = 801,287.05

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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.