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Finding the Third Proportional to 356,949 and 552,705

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Solution

The third proportional to 356,949 and 552,705 is: 855,816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,949 : 552,705 = 552,705 : x
  2. Step 2: Convert to fraction form
    356,949/552,705 = 552,705/x
  3. Step 3: Cross multiply
    356,949x = 552,705 × 552,705
  4. Step 4: Simplify right side
    356,949x = 305,482,817,025
  5. Step 5: Solve for x
    x = 305,482,817,025/356,949
  6. Step 6: Final answer
    x = 855,816.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.