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Finding the Third Proportional to 564,493.50 and 1,220,998.50

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Solution

The third proportional to 564,493.50 and 1,220,998.50 is: 2,641,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,493.50 : 1,220,998.50 = 1,220,998.50 : x
  2. Step 2: Convert to fraction form
    564,493.50/1,220,998.50 = 1,220,998.50/x
  3. Step 3: Cross multiply
    564,493.50x = 1,220,998.50 × 1,220,998.50
  4. Step 4: Simplify right side
    564,493.50x = 1,490,837,337,002.25
  5. Step 5: Solve for x
    x = 1,490,837,337,002.25/564,493.50
  6. Step 6: Final answer
    x = 2,641,017.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.