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Finding the Third Proportional to 377,001 and 780,246

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Solution

The third proportional to 377,001 and 780,246 is: 1,614,806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,001 : 780,246 = 780,246 : x
  2. Step 2: Convert to fraction form
    377,001/780,246 = 780,246/x
  3. Step 3: Cross multiply
    377,001x = 780,246 × 780,246
  4. Step 4: Simplify right side
    377,001x = 608,783,820,516
  5. Step 5: Solve for x
    x = 608,783,820,516/377,001
  6. Step 6: Final answer
    x = 1,614,806.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.