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Finding the Third Proportional to 333,624.94 and 517,028.06

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Solution

The third proportional to 333,624.94 and 517,028.06 is: 801,253.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,624.94 : 517,028.06 = 517,028.06 : x
  2. Step 2: Convert to fraction form
    333,624.94/517,028.06 = 517,028.06/x
  3. Step 3: Cross multiply
    333,624.94x = 517,028.06 × 517,028.06
  4. Step 4: Simplify right side
    333,624.94x = 267,318,017,412.50
  5. Step 5: Solve for x
    x = 267,318,017,412.50/333,624.94
  6. Step 6: Final answer
    x = 801,253.11

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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.