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Finding the Third Proportional to 564,355.88 and 1,205,250

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Solution

The third proportional to 564,355.88 and 1,205,250 is: 2,573,956.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,355.88 : 1,205,250 = 1,205,250 : x
  2. Step 2: Convert to fraction form
    564,355.88/1,205,250 = 1,205,250/x
  3. Step 3: Cross multiply
    564,355.88x = 1,205,250 × 1,205,250
  4. Step 4: Simplify right side
    564,355.88x = 1,452,627,562,500
  5. Step 5: Solve for x
    x = 1,452,627,562,500/564,355.88
  6. Step 6: Final answer
    x = 2,573,956.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.