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Finding the Third Proportional to 240,784 and 518,564

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Solution

The third proportional to 240,784 and 518,564 is: 1,116,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,784 : 518,564 = 518,564 : x
  2. Step 2: Convert to fraction form
    240,784/518,564 = 518,564/x
  3. Step 3: Cross multiply
    240,784x = 518,564 × 518,564
  4. Step 4: Simplify right side
    240,784x = 268,908,622,096
  5. Step 5: Solve for x
    x = 268,908,622,096/240,784
  6. Step 6: Final answer
    x = 1,116,804.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.