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Finding the Third Proportional to 419,200.50 and 909,291

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Solution

The third proportional to 419,200.50 and 909,291 is: 1,972,350.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,200.50 : 909,291 = 909,291 : x
  2. Step 2: Convert to fraction form
    419,200.50/909,291 = 909,291/x
  3. Step 3: Cross multiply
    419,200.50x = 909,291 × 909,291
  4. Step 4: Simplify right side
    419,200.50x = 826,810,122,681
  5. Step 5: Solve for x
    x = 826,810,122,681/419,200.50
  6. Step 6: Final answer
    x = 1,972,350.04

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