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Finding the Third Proportional to 213,291 and 466,758

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Solution

The third proportional to 213,291 and 466,758 is: 1,021,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,291 : 466,758 = 466,758 : x
  2. Step 2: Convert to fraction form
    213,291/466,758 = 466,758/x
  3. Step 3: Cross multiply
    213,291x = 466,758 × 466,758
  4. Step 4: Simplify right side
    213,291x = 217,863,030,564
  5. Step 5: Solve for x
    x = 217,863,030,564/213,291
  6. Step 6: Final answer
    x = 1,021,435.65

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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.