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Finding the Third Proportional to 238,466.53 and 519,070.78

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Solution

The third proportional to 238,466.53 and 519,070.78 is: 1,129,862.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,466.53 : 519,070.78 = 519,070.78 : x
  2. Step 2: Convert to fraction form
    238,466.53/519,070.78 = 519,070.78/x
  3. Step 3: Cross multiply
    238,466.53x = 519,070.78 × 519,070.78
  4. Step 4: Simplify right side
    238,466.53x = 269,434,475,947.49
  5. Step 5: Solve for x
    x = 269,434,475,947.49/238,466.53
  6. Step 6: Final answer
    x = 1,129,862.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.