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Finding the Third Proportional to 224,512 and 480,154

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Solution

The third proportional to 224,512 and 480,154 is: 1,026,884.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,512 : 480,154 = 480,154 : x
  2. Step 2: Convert to fraction form
    224,512/480,154 = 480,154/x
  3. Step 3: Cross multiply
    224,512x = 480,154 × 480,154
  4. Step 4: Simplify right side
    224,512x = 230,547,863,716
  5. Step 5: Solve for x
    x = 230,547,863,716/224,512
  6. Step 6: Final answer
    x = 1,026,884.37

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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.