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Finding the Third Proportional to 308,840 and 466,570

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Solution

The third proportional to 308,840 and 466,570 is: 704,855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,840 : 466,570 = 466,570 : x
  2. Step 2: Convert to fraction form
    308,840/466,570 = 466,570/x
  3. Step 3: Cross multiply
    308,840x = 466,570 × 466,570
  4. Step 4: Simplify right side
    308,840x = 217,687,564,900
  5. Step 5: Solve for x
    x = 217,687,564,900/308,840
  6. Step 6: Final answer
    x = 704,855.48

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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.