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Finding the Third Proportional to 377,028 and 780,300

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Solution

The third proportional to 377,028 and 780,300 is: 1,614,914.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,028 : 780,300 = 780,300 : x
  2. Step 2: Convert to fraction form
    377,028/780,300 = 780,300/x
  3. Step 3: Cross multiply
    377,028x = 780,300 × 780,300
  4. Step 4: Simplify right side
    377,028x = 608,868,090,000
  5. Step 5: Solve for x
    x = 608,868,090,000/377,028
  6. Step 6: Final answer
    x = 1,614,914.78

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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.