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Finding the Third Proportional to 223,359 and 486,114

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Solution

The third proportional to 223,359 and 486,114 is: 1,057,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,359 : 486,114 = 486,114 : x
  2. Step 2: Convert to fraction form
    223,359/486,114 = 486,114/x
  3. Step 3: Cross multiply
    223,359x = 486,114 × 486,114
  4. Step 4: Simplify right side
    223,359x = 236,306,820,996
  5. Step 5: Solve for x
    x = 236,306,820,996/223,359
  6. Step 6: Final answer
    x = 1,057,968.66

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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.