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Finding the Third Proportional to 564,050.25 and 1,230,997.50

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Solution

The third proportional to 564,050.25 and 1,230,997.50 is: 2,686,560.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,050.25 : 1,230,997.50 = 1,230,997.50 : x
  2. Step 2: Convert to fraction form
    564,050.25/1,230,997.50 = 1,230,997.50/x
  3. Step 3: Cross multiply
    564,050.25x = 1,230,997.50 × 1,230,997.50
  4. Step 4: Simplify right side
    564,050.25x = 1,515,354,845,006.25
  5. Step 5: Solve for x
    x = 1,515,354,845,006.25/564,050.25
  6. Step 6: Final answer
    x = 2,686,560.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.