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Finding the Third Proportional to 363,839.34 and 791,283.94

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Solution

The third proportional to 363,839.34 and 791,283.94 is: 1,720,897.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,839.34 : 791,283.94 = 791,283.94 : x
  2. Step 2: Convert to fraction form
    363,839.34/791,283.94 = 791,283.94/x
  3. Step 3: Cross multiply
    363,839.34x = 791,283.94 × 791,283.94
  4. Step 4: Simplify right side
    363,839.34x = 626,130,269,745.50
  5. Step 5: Solve for x
    x = 626,130,269,745.50/363,839.34
  6. Step 6: Final answer
    x = 1,720,897.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.