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Finding the Third Proportional to 234,416 and 513,868

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Solution

The third proportional to 234,416 and 513,868 is: 1,126,460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,416 : 513,868 = 513,868 : x
  2. Step 2: Convert to fraction form
    234,416/513,868 = 513,868/x
  3. Step 3: Cross multiply
    234,416x = 513,868 × 513,868
  4. Step 4: Simplify right side
    234,416x = 264,060,321,424
  5. Step 5: Solve for x
    x = 264,060,321,424/234,416
  6. Step 6: Final answer
    x = 1,126,460.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.