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Finding the Third Proportional to 213,291 and 466,672.50

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Solution

The third proportional to 213,291 and 466,672.50 is: 1,021,061.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,291 : 466,672.50 = 466,672.50 : x
  2. Step 2: Convert to fraction form
    213,291/466,672.50 = 466,672.50/x
  3. Step 3: Cross multiply
    213,291x = 466,672.50 × 466,672.50
  4. Step 4: Simplify right side
    213,291x = 217,783,222,256.25
  5. Step 5: Solve for x
    x = 217,783,222,256.25/213,291
  6. Step 6: Final answer
    x = 1,021,061.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.