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Finding the Third Proportional to 223,527 and 479,012

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Solution

The third proportional to 223,527 and 479,012 is: 1,026,509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,527 : 479,012 = 479,012 : x
  2. Step 2: Convert to fraction form
    223,527/479,012 = 479,012/x
  3. Step 3: Cross multiply
    223,527x = 479,012 × 479,012
  4. Step 4: Simplify right side
    223,527x = 229,452,496,144
  5. Step 5: Solve for x
    x = 229,452,496,144/223,527
  6. Step 6: Final answer
    x = 1,026,509.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.