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Finding the Third Proportional to 346,521.75 and 518,372.25

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Solution

The third proportional to 346,521.75 and 518,372.25 is: 775,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,521.75 : 518,372.25 = 518,372.25 : x
  2. Step 2: Convert to fraction form
    346,521.75/518,372.25 = 518,372.25/x
  3. Step 3: Cross multiply
    346,521.75x = 518,372.25 × 518,372.25
  4. Step 4: Simplify right side
    346,521.75x = 268,709,789,570.06
  5. Step 5: Solve for x
    x = 268,709,789,570.06/346,521.75
  6. Step 6: Final answer
    x = 775,448.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.