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Finding the Third Proportional to 207,314 and 435,518

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Solution

The third proportional to 207,314 and 435,518 is: 914,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,314 : 435,518 = 435,518 : x
  2. Step 2: Convert to fraction form
    207,314/435,518 = 435,518/x
  3. Step 3: Cross multiply
    207,314x = 435,518 × 435,518
  4. Step 4: Simplify right side
    207,314x = 189,675,928,324
  5. Step 5: Solve for x
    x = 189,675,928,324/207,314
  6. Step 6: Final answer
    x = 914,920.98

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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.