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Finding the Third Proportional to 518,176 and 1,132,400

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Solution

The third proportional to 518,176 and 1,132,400 is: 2,474,699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,176 : 1,132,400 = 1,132,400 : x
  2. Step 2: Convert to fraction form
    518,176/1,132,400 = 1,132,400/x
  3. Step 3: Cross multiply
    518,176x = 1,132,400 × 1,132,400
  4. Step 4: Simplify right side
    518,176x = 1,282,329,760,000
  5. Step 5: Solve for x
    x = 1,282,329,760,000/518,176
  6. Step 6: Final answer
    x = 2,474,699.25

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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.