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Finding the Third Proportional to 224,320 and 469,408

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Solution

The third proportional to 224,320 and 469,408 is: 982,274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,320 : 469,408 = 469,408 : x
  2. Step 2: Convert to fraction form
    224,320/469,408 = 469,408/x
  3. Step 3: Cross multiply
    224,320x = 469,408 × 469,408
  4. Step 4: Simplify right side
    224,320x = 220,343,870,464
  5. Step 5: Solve for x
    x = 220,343,870,464/224,320
  6. Step 6: Final answer
    x = 982,274.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.