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Finding the Third Proportional to 219,293 and 480,466

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Solution

The third proportional to 219,293 and 480,466 is: 1,052,690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,293 : 480,466 = 480,466 : x
  2. Step 2: Convert to fraction form
    219,293/480,466 = 480,466/x
  3. Step 3: Cross multiply
    219,293x = 480,466 × 480,466
  4. Step 4: Simplify right side
    219,293x = 230,847,577,156
  5. Step 5: Solve for x
    x = 230,847,577,156/219,293
  6. Step 6: Final answer
    x = 1,052,690.13

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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.