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Finding the Third Proportional to 611,055.56 and 897,872.34

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Solution

The third proportional to 611,055.56 and 897,872.34 is: 1,319,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,055.56 : 897,872.34 = 897,872.34 : x
  2. Step 2: Convert to fraction form
    611,055.56/897,872.34 = 897,872.34/x
  3. Step 3: Cross multiply
    611,055.56x = 897,872.34 × 897,872.34
  4. Step 4: Simplify right side
    611,055.56x = 806,174,745,671.12
  5. Step 5: Solve for x
    x = 806,174,745,671.12/611,055.56
  6. Step 6: Final answer
    x = 1,319,314.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.