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Finding the Third Proportional to 220,835 and 476,641

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Solution

The third proportional to 220,835 and 476,641 is: 1,028,761.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,835 : 476,641 = 476,641 : x
  2. Step 2: Convert to fraction form
    220,835/476,641 = 476,641/x
  3. Step 3: Cross multiply
    220,835x = 476,641 × 476,641
  4. Step 4: Simplify right side
    220,835x = 227,186,642,881
  5. Step 5: Solve for x
    x = 227,186,642,881/220,835
  6. Step 6: Final answer
    x = 1,028,761.94

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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.