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Finding the Third Proportional to 213,264.50 and 466,705

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Solution

The third proportional to 213,264.50 and 466,705 is: 1,021,330.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,264.50 : 466,705 = 466,705 : x
  2. Step 2: Convert to fraction form
    213,264.50/466,705 = 466,705/x
  3. Step 3: Cross multiply
    213,264.50x = 466,705 × 466,705
  4. Step 4: Simplify right side
    213,264.50x = 217,813,557,025
  5. Step 5: Solve for x
    x = 217,813,557,025/213,264.50
  6. Step 6: Final answer
    x = 1,021,330.59

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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.