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Finding the Third Proportional to 407,895.75 and 897,347.25

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Solution

The third proportional to 407,895.75 and 897,347.25 is: 1,974,112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,895.75 : 897,347.25 = 897,347.25 : x
  2. Step 2: Convert to fraction form
    407,895.75/897,347.25 = 897,347.25/x
  3. Step 3: Cross multiply
    407,895.75x = 897,347.25 × 897,347.25
  4. Step 4: Simplify right side
    407,895.75x = 805,232,087,082.56
  5. Step 5: Solve for x
    x = 805,232,087,082.56/407,895.75
  6. Step 6: Final answer
    x = 1,974,112.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.