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Finding the Third Proportional to 308,519 and 466,065

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Solution

The third proportional to 308,519 and 466,065 is: 704,062.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,519 : 466,065 = 466,065 : x
  2. Step 2: Convert to fraction form
    308,519/466,065 = 466,065/x
  3. Step 3: Cross multiply
    308,519x = 466,065 × 466,065
  4. Step 4: Simplify right side
    308,519x = 217,216,584,225
  5. Step 5: Solve for x
    x = 217,216,584,225/308,519
  6. Step 6: Final answer
    x = 704,062.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.