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Finding the Third Proportional to 308,516 and 466,061.25

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Solution

The third proportional to 308,516 and 466,061.25 is: 704,057.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,516 : 466,061.25 = 466,061.25 : x
  2. Step 2: Convert to fraction form
    308,516/466,061.25 = 466,061.25/x
  3. Step 3: Cross multiply
    308,516x = 466,061.25 × 466,061.25
  4. Step 4: Simplify right side
    308,516x = 217,213,088,751.56
  5. Step 5: Solve for x
    x = 217,213,088,751.56/308,516
  6. Step 6: Final answer
    x = 704,057.78

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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.