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Finding the Third Proportional to 377,696 and 811,528

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Solution

The third proportional to 377,696 and 811,528 is: 1,743,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,696 : 811,528 = 811,528 : x
  2. Step 2: Convert to fraction form
    377,696/811,528 = 811,528/x
  3. Step 3: Cross multiply
    377,696x = 811,528 × 811,528
  4. Step 4: Simplify right side
    377,696x = 658,577,694,784
  5. Step 5: Solve for x
    x = 658,577,694,784/377,696
  6. Step 6: Final answer
    x = 1,743,671.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.