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Finding the Third Proportional to 219,337 and 480,564

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Solution

The third proportional to 219,337 and 480,564 is: 1,052,908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,337 : 480,564 = 480,564 : x
  2. Step 2: Convert to fraction form
    219,337/480,564 = 480,564/x
  3. Step 3: Cross multiply
    219,337x = 480,564 × 480,564
  4. Step 4: Simplify right side
    219,337x = 230,941,758,096
  5. Step 5: Solve for x
    x = 230,941,758,096/219,337
  6. Step 6: Final answer
    x = 1,052,908.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.