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Finding the Third Proportional to 234,822 and 513,952

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Solution

The third proportional to 234,822 and 513,952 is: 1,124,880.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,822 : 513,952 = 513,952 : x
  2. Step 2: Convert to fraction form
    234,822/513,952 = 513,952/x
  3. Step 3: Cross multiply
    234,822x = 513,952 × 513,952
  4. Step 4: Simplify right side
    234,822x = 264,146,658,304
  5. Step 5: Solve for x
    x = 264,146,658,304/234,822
  6. Step 6: Final answer
    x = 1,124,880.37

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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.