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Finding the Third Proportional to 349,715 and 531,410

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Solution

The third proportional to 349,715 and 531,410 is: 807,504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,715 : 531,410 = 531,410 : x
  2. Step 2: Convert to fraction form
    349,715/531,410 = 531,410/x
  3. Step 3: Cross multiply
    349,715x = 531,410 × 531,410
  4. Step 4: Simplify right side
    349,715x = 282,396,588,100
  5. Step 5: Solve for x
    x = 282,396,588,100/349,715
  6. Step 6: Final answer
    x = 807,504.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.