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Finding the Third Proportional to 224,384 and 480,298

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Solution

The third proportional to 224,384 and 480,298 is: 1,028,086.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,384 : 480,298 = 480,298 : x
  2. Step 2: Convert to fraction form
    224,384/480,298 = 480,298/x
  3. Step 3: Cross multiply
    224,384x = 480,298 × 480,298
  4. Step 4: Simplify right side
    224,384x = 230,686,168,804
  5. Step 5: Solve for x
    x = 230,686,168,804/224,384
  6. Step 6: Final answer
    x = 1,028,086.53

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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.