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Finding the Third Proportional to 224,445 and 480,417

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Solution

The third proportional to 224,445 and 480,417 is: 1,028,316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,445 : 480,417 = 480,417 : x
  2. Step 2: Convert to fraction form
    224,445/480,417 = 480,417/x
  3. Step 3: Cross multiply
    224,445x = 480,417 × 480,417
  4. Step 4: Simplify right side
    224,445x = 230,800,493,889
  5. Step 5: Solve for x
    x = 230,800,493,889/224,445
  6. Step 6: Final answer
    x = 1,028,316.49

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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.