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Finding the Third Proportional to 207,364 and 435,612

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Solution

The third proportional to 207,364 and 435,612 is: 915,095.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,364 : 435,612 = 435,612 : x
  2. Step 2: Convert to fraction form
    207,364/435,612 = 435,612/x
  3. Step 3: Cross multiply
    207,364x = 435,612 × 435,612
  4. Step 4: Simplify right side
    207,364x = 189,757,814,544
  5. Step 5: Solve for x
    x = 189,757,814,544/207,364
  6. Step 6: Final answer
    x = 915,095.27

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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.