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Finding the Third Proportional to 234,444 and 513,816

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Solution

The third proportional to 234,444 and 513,816 is: 1,126,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,444 : 513,816 = 513,816 : x
  2. Step 2: Convert to fraction form
    234,444/513,816 = 513,816/x
  3. Step 3: Cross multiply
    234,444x = 513,816 × 513,816
  4. Step 4: Simplify right side
    234,444x = 264,006,881,856
  5. Step 5: Solve for x
    x = 264,006,881,856/234,444
  6. Step 6: Final answer
    x = 1,126,097.84

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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.