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Finding the Third Proportional to 219,297 and 480,475

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Solution

The third proportional to 219,297 and 480,475 is: 1,052,710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,297 : 480,475 = 480,475 : x
  2. Step 2: Convert to fraction form
    219,297/480,475 = 480,475/x
  3. Step 3: Cross multiply
    219,297x = 480,475 × 480,475
  4. Step 4: Simplify right side
    219,297x = 230,856,225,625
  5. Step 5: Solve for x
    x = 230,856,225,625/219,297
  6. Step 6: Final answer
    x = 1,052,710.37

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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.