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Finding the Third Proportional to 420,178 and 566,112

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Solution

The third proportional to 420,178 and 566,112 is: 762,731.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,178 : 566,112 = 566,112 : x
  2. Step 2: Convert to fraction form
    420,178/566,112 = 566,112/x
  3. Step 3: Cross multiply
    420,178x = 566,112 × 566,112
  4. Step 4: Simplify right side
    420,178x = 320,482,796,544
  5. Step 5: Solve for x
    x = 320,482,796,544/420,178
  6. Step 6: Final answer
    x = 762,731.02

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.