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Finding the Third Proportional to 377,066 and 780,380

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Solution

The third proportional to 377,066 and 780,380 is: 1,615,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,066 : 780,380 = 780,380 : x
  2. Step 2: Convert to fraction form
    377,066/780,380 = 780,380/x
  3. Step 3: Cross multiply
    377,066x = 780,380 × 780,380
  4. Step 4: Simplify right side
    377,066x = 608,992,944,400
  5. Step 5: Solve for x
    x = 608,992,944,400/377,066
  6. Step 6: Final answer
    x = 1,615,083.15

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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.