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Finding the Third Proportional to 224,454 and 480,039

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Solution

The third proportional to 224,454 and 480,039 is: 1,026,657.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,454 : 480,039 = 480,039 : x
  2. Step 2: Convert to fraction form
    224,454/480,039 = 480,039/x
  3. Step 3: Cross multiply
    224,454x = 480,039 × 480,039
  4. Step 4: Simplify right side
    224,454x = 230,437,441,521
  5. Step 5: Solve for x
    x = 230,437,441,521/224,454
  6. Step 6: Final answer
    x = 1,026,657.76

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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.