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Finding the Third Proportional to 376,938 and 812,934

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Solution

The third proportional to 376,938 and 812,934 is: 1,753,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,938 : 812,934 = 812,934 : x
  2. Step 2: Convert to fraction form
    376,938/812,934 = 812,934/x
  3. Step 3: Cross multiply
    376,938x = 812,934 × 812,934
  4. Step 4: Simplify right side
    376,938x = 660,861,688,356
  5. Step 5: Solve for x
    x = 660,861,688,356/376,938
  6. Step 6: Final answer
    x = 1,753,237.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.