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Finding the Third Proportional to 377,008 and 780,260

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Solution

The third proportional to 377,008 and 780,260 is: 1,614,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,008 : 780,260 = 780,260 : x
  2. Step 2: Convert to fraction form
    377,008/780,260 = 780,260/x
  3. Step 3: Cross multiply
    377,008x = 780,260 × 780,260
  4. Step 4: Simplify right side
    377,008x = 608,805,667,600
  5. Step 5: Solve for x
    x = 608,805,667,600/377,008
  6. Step 6: Final answer
    x = 1,614,834.88

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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.