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Finding the Third Proportional to 315,240.25 and 652,911.75

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Solution

The third proportional to 315,240.25 and 652,911.75 is: 1,352,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,240.25 : 652,911.75 = 652,911.75 : x
  2. Step 2: Convert to fraction form
    315,240.25/652,911.75 = 652,911.75/x
  3. Step 3: Cross multiply
    315,240.25x = 652,911.75 × 652,911.75
  4. Step 4: Simplify right side
    315,240.25x = 426,293,753,288.06
  5. Step 5: Solve for x
    x = 426,293,753,288.06/315,240.25
  6. Step 6: Final answer
    x = 1,352,282.12

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.