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Finding the Third Proportional to 207,306.75 and 435,501.38

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Solution

The third proportional to 207,306.75 and 435,501.38 is: 914,883.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,306.75 : 435,501.38 = 435,501.38 : x
  2. Step 2: Convert to fraction form
    207,306.75/435,501.38 = 435,501.38/x
  3. Step 3: Cross multiply
    207,306.75x = 435,501.38 × 435,501.38
  4. Step 4: Simplify right side
    207,306.75x = 189,661,447,626.89
  5. Step 5: Solve for x
    x = 189,661,447,626.89/207,306.75
  6. Step 6: Final answer
    x = 914,883.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.