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Finding the Third Proportional to 216,376 and 466,040

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Solution

The third proportional to 216,376 and 466,040 is: 1,003,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,376 : 466,040 = 466,040 : x
  2. Step 2: Convert to fraction form
    216,376/466,040 = 466,040/x
  3. Step 3: Cross multiply
    216,376x = 466,040 × 466,040
  4. Step 4: Simplify right side
    216,376x = 217,193,281,600
  5. Step 5: Solve for x
    x = 217,193,281,600/216,376
  6. Step 6: Final answer
    x = 1,003,777.14

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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.