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Finding the Third Proportional to 238,592.25 and 514,545.75

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Solution

The third proportional to 238,592.25 and 514,545.75 is: 1,109,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,592.25 : 514,545.75 = 514,545.75 : x
  2. Step 2: Convert to fraction form
    238,592.25/514,545.75 = 514,545.75/x
  3. Step 3: Cross multiply
    238,592.25x = 514,545.75 × 514,545.75
  4. Step 4: Simplify right side
    238,592.25x = 264,757,328,843.06
  5. Step 5: Solve for x
    x = 264,757,328,843.06/238,592.25
  6. Step 6: Final answer
    x = 1,109,664.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.