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Finding the Third Proportional to 220,762 and 476,813

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Solution

The third proportional to 220,762 and 476,813 is: 1,029,844.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,762 : 476,813 = 476,813 : x
  2. Step 2: Convert to fraction form
    220,762/476,813 = 476,813/x
  3. Step 3: Cross multiply
    220,762x = 476,813 × 476,813
  4. Step 4: Simplify right side
    220,762x = 227,350,636,969
  5. Step 5: Solve for x
    x = 227,350,636,969/220,762
  6. Step 6: Final answer
    x = 1,029,844.98

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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.