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Finding the Third Proportional to 577,327.50 and 1,266,192

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Solution

The third proportional to 577,327.50 and 1,266,192 is: 2,777,006.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,327.50 : 1,266,192 = 1,266,192 : x
  2. Step 2: Convert to fraction form
    577,327.50/1,266,192 = 1,266,192/x
  3. Step 3: Cross multiply
    577,327.50x = 1,266,192 × 1,266,192
  4. Step 4: Simplify right side
    577,327.50x = 1,603,242,180,864
  5. Step 5: Solve for x
    x = 1,603,242,180,864/577,327.50
  6. Step 6: Final answer
    x = 2,777,006.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.