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Finding the Third Proportional to 451,711.69 and 602,209.69

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Solution

The third proportional to 451,711.69 and 602,209.69 is: 802,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,711.69 : 602,209.69 = 602,209.69 : x
  2. Step 2: Convert to fraction form
    451,711.69/602,209.69 = 602,209.69/x
  3. Step 3: Cross multiply
    451,711.69x = 602,209.69 × 602,209.69
  4. Step 4: Simplify right side
    451,711.69x = 362,656,507,718.85
  5. Step 5: Solve for x
    x = 362,656,507,718.85/451,711.69
  6. Step 6: Final answer
    x = 802,849.51

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.