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Finding the Third Proportional to 375,531.19 and 777,306.38

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Solution

The third proportional to 375,531.19 and 777,306.38 is: 1,608,934.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,531.19 : 777,306.38 = 777,306.38 : x
  2. Step 2: Convert to fraction form
    375,531.19/777,306.38 = 777,306.38/x
  3. Step 3: Cross multiply
    375,531.19x = 777,306.38 × 777,306.38
  4. Step 4: Simplify right side
    375,531.19x = 604,205,200,615.64
  5. Step 5: Solve for x
    x = 604,205,200,615.64/375,531.19
  6. Step 6: Final answer
    x = 1,608,934.81

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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.