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Finding the Third Proportional to 370,065.38 and 769,218.19

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Solution

The third proportional to 370,065.38 and 769,218.19 is: 1,598,897.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,065.38 : 769,218.19 = 769,218.19 : x
  2. Step 2: Convert to fraction form
    370,065.38/769,218.19 = 769,218.19/x
  3. Step 3: Cross multiply
    370,065.38x = 769,218.19 × 769,218.19
  4. Step 4: Simplify right side
    370,065.38x = 591,696,619,980.79
  5. Step 5: Solve for x
    x = 591,696,619,980.79/370,065.38
  6. Step 6: Final answer
    x = 1,598,897.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.