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Finding the Third Proportional to 347,115 and 524,371.50

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Solution

The third proportional to 347,115 and 524,371.50 is: 792,145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,115 : 524,371.50 = 524,371.50 : x
  2. Step 2: Convert to fraction form
    347,115/524,371.50 = 524,371.50/x
  3. Step 3: Cross multiply
    347,115x = 524,371.50 × 524,371.50
  4. Step 4: Simplify right side
    347,115x = 274,965,470,012.25
  5. Step 5: Solve for x
    x = 274,965,470,012.25/347,115
  6. Step 6: Final answer
    x = 792,145.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.