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Finding the Third Proportional to 223,356 and 481,705

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Solution

The third proportional to 223,356 and 481,705 is: 1,038,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,356 : 481,705 = 481,705 : x
  2. Step 2: Convert to fraction form
    223,356/481,705 = 481,705/x
  3. Step 3: Cross multiply
    223,356x = 481,705 × 481,705
  4. Step 4: Simplify right side
    223,356x = 232,039,707,025
  5. Step 5: Solve for x
    x = 232,039,707,025/223,356
  6. Step 6: Final answer
    x = 1,038,878.32

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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.