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Finding the Third Proportional to 377,014 and 780,272

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Solution

The third proportional to 377,014 and 780,272 is: 1,614,858.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,014 : 780,272 = 780,272 : x
  2. Step 2: Convert to fraction form
    377,014/780,272 = 780,272/x
  3. Step 3: Cross multiply
    377,014x = 780,272 × 780,272
  4. Step 4: Simplify right side
    377,014x = 608,824,393,984
  5. Step 5: Solve for x
    x = 608,824,393,984/377,014
  6. Step 6: Final answer
    x = 1,614,858.85

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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.