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Finding the Third Proportional to 213,390 and 466,152

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Solution

The third proportional to 213,390 and 466,152 is: 1,018,312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,390 : 466,152 = 466,152 : x
  2. Step 2: Convert to fraction form
    213,390/466,152 = 466,152/x
  3. Step 3: Cross multiply
    213,390x = 466,152 × 466,152
  4. Step 4: Simplify right side
    213,390x = 217,297,687,104
  5. Step 5: Solve for x
    x = 217,297,687,104/213,390
  6. Step 6: Final answer
    x = 1,018,312.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.