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Finding the Third Proportional to 220,747 and 476,773

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Solution

The third proportional to 220,747 and 476,773 is: 1,029,742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,747 : 476,773 = 476,773 : x
  2. Step 2: Convert to fraction form
    220,747/476,773 = 476,773/x
  3. Step 3: Cross multiply
    220,747x = 476,773 × 476,773
  4. Step 4: Simplify right side
    220,747x = 227,312,493,529
  5. Step 5: Solve for x
    x = 227,312,493,529/220,747
  6. Step 6: Final answer
    x = 1,029,742.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.