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Finding the Third Proportional to 414,232 and 887,480

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Solution

The third proportional to 414,232 and 887,480 is: 1,901,400.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,232 : 887,480 = 887,480 : x
  2. Step 2: Convert to fraction form
    414,232/887,480 = 887,480/x
  3. Step 3: Cross multiply
    414,232x = 887,480 × 887,480
  4. Step 4: Simplify right side
    414,232x = 787,620,750,400
  5. Step 5: Solve for x
    x = 787,620,750,400/414,232
  6. Step 6: Final answer
    x = 1,901,400.06

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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.