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Finding the Third Proportional to 238,864 and 515,024

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Solution

The third proportional to 238,864 and 515,024 is: 1,110,463.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,864 : 515,024 = 515,024 : x
  2. Step 2: Convert to fraction form
    238,864/515,024 = 515,024/x
  3. Step 3: Cross multiply
    238,864x = 515,024 × 515,024
  4. Step 4: Simplify right side
    238,864x = 265,249,720,576
  5. Step 5: Solve for x
    x = 265,249,720,576/238,864
  6. Step 6: Final answer
    x = 1,110,463.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.