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Finding the Third Proportional to 213,297 and 466,768.50

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Solution

The third proportional to 213,297 and 466,768.50 is: 1,021,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,297 : 466,768.50 = 466,768.50 : x
  2. Step 2: Convert to fraction form
    213,297/466,768.50 = 466,768.50/x
  3. Step 3: Cross multiply
    213,297x = 466,768.50 × 466,768.50
  4. Step 4: Simplify right side
    213,297x = 217,872,832,592.25
  5. Step 5: Solve for x
    x = 217,872,832,592.25/213,297
  6. Step 6: Final answer
    x = 1,021,452.87

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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.