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Finding the Third Proportional to 223,302 and 481,587

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Solution

The third proportional to 223,302 and 481,587 is: 1,038,620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,302 : 481,587 = 481,587 : x
  2. Step 2: Convert to fraction form
    223,302/481,587 = 481,587/x
  3. Step 3: Cross multiply
    223,302x = 481,587 × 481,587
  4. Step 4: Simplify right side
    223,302x = 231,926,038,569
  5. Step 5: Solve for x
    x = 231,926,038,569/223,302
  6. Step 6: Final answer
    x = 1,038,620.52

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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.