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Finding the Third Proportional to 235,232 and 517,120

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Solution

The third proportional to 235,232 and 517,120 is: 1,136,805.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,232 : 517,120 = 517,120 : x
  2. Step 2: Convert to fraction form
    235,232/517,120 = 517,120/x
  3. Step 3: Cross multiply
    235,232x = 517,120 × 517,120
  4. Step 4: Simplify right side
    235,232x = 267,413,094,400
  5. Step 5: Solve for x
    x = 267,413,094,400/235,232
  6. Step 6: Final answer
    x = 1,136,805.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.