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Finding the Third Proportional to 224,111 and 485,557

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Solution

The third proportional to 224,111 and 485,557 is: 1,052,003.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,111 : 485,557 = 485,557 : x
  2. Step 2: Convert to fraction form
    224,111/485,557 = 485,557/x
  3. Step 3: Cross multiply
    224,111x = 485,557 × 485,557
  4. Step 4: Simplify right side
    224,111x = 235,765,600,249
  5. Step 5: Solve for x
    x = 235,765,600,249/224,111
  6. Step 6: Final answer
    x = 1,052,003.70

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Why These Related Problems?

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