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Finding the Third Proportional to 214,718 and 467,506

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Solution

The third proportional to 214,718 and 467,506 is: 1,017,901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,718 : 467,506 = 467,506 : x
  2. Step 2: Convert to fraction form
    214,718/467,506 = 467,506/x
  3. Step 3: Cross multiply
    214,718x = 467,506 × 467,506
  4. Step 4: Simplify right side
    214,718x = 218,561,860,036
  5. Step 5: Solve for x
    x = 218,561,860,036/214,718
  6. Step 6: Final answer
    x = 1,017,901.90

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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.