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Finding the Third Proportional to 244,224 and 514,688

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Solution

The third proportional to 244,224 and 514,688 is: 1,084,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,224 : 514,688 = 514,688 : x
  2. Step 2: Convert to fraction form
    244,224/514,688 = 514,688/x
  3. Step 3: Cross multiply
    244,224x = 514,688 × 514,688
  4. Step 4: Simplify right side
    244,224x = 264,903,737,344
  5. Step 5: Solve for x
    x = 264,903,737,344/244,224
  6. Step 6: Final answer
    x = 1,084,675.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.