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Finding the Third Proportional to 315,134 and 674,566

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Solution

The third proportional to 315,134 and 674,566 is: 1,443,954.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,134 : 674,566 = 674,566 : x
  2. Step 2: Convert to fraction form
    315,134/674,566 = 674,566/x
  3. Step 3: Cross multiply
    315,134x = 674,566 × 674,566
  4. Step 4: Simplify right side
    315,134x = 455,039,288,356
  5. Step 5: Solve for x
    x = 455,039,288,356/315,134
  6. Step 6: Final answer
    x = 1,443,954.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.