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Finding the Third Proportional to 223,772 and 486,502

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Solution

The third proportional to 223,772 and 486,502 is: 1,057,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,772 : 486,502 = 486,502 : x
  2. Step 2: Convert to fraction form
    223,772/486,502 = 486,502/x
  3. Step 3: Cross multiply
    223,772x = 486,502 × 486,502
  4. Step 4: Simplify right side
    223,772x = 236,684,196,004
  5. Step 5: Solve for x
    x = 236,684,196,004/223,772
  6. Step 6: Final answer
    x = 1,057,702.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.