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Finding the Third Proportional to 580,979.25 and 897,351.75

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Solution

The third proportional to 580,979.25 and 897,351.75 is: 1,386,005.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,979.25 : 897,351.75 = 897,351.75 : x
  2. Step 2: Convert to fraction form
    580,979.25/897,351.75 = 897,351.75/x
  3. Step 3: Cross multiply
    580,979.25x = 897,351.75 × 897,351.75
  4. Step 4: Simplify right side
    580,979.25x = 805,240,163,228.06
  5. Step 5: Solve for x
    x = 805,240,163,228.06/580,979.25
  6. Step 6: Final answer
    x = 1,386,005.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.