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Finding the Third Proportional to 244,098 and 514,440

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Solution

The third proportional to 244,098 and 514,440 is: 1,084,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,098 : 514,440 = 514,440 : x
  2. Step 2: Convert to fraction form
    244,098/514,440 = 514,440/x
  3. Step 3: Cross multiply
    244,098x = 514,440 × 514,440
  4. Step 4: Simplify right side
    244,098x = 264,648,513,600
  5. Step 5: Solve for x
    x = 264,648,513,600/244,098
  6. Step 6: Final answer
    x = 1,084,189.60

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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.