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Finding the Third Proportional to 214,968 and 466,750

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Solution

The third proportional to 214,968 and 466,750 is: 1,013,432.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,968 : 466,750 = 466,750 : x
  2. Step 2: Convert to fraction form
    214,968/466,750 = 466,750/x
  3. Step 3: Cross multiply
    214,968x = 466,750 × 466,750
  4. Step 4: Simplify right side
    214,968x = 217,855,562,500
  5. Step 5: Solve for x
    x = 217,855,562,500/214,968
  6. Step 6: Final answer
    x = 1,013,432.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.