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Finding the Third Proportional to 193,509 and 410,508

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Solution

The third proportional to 193,509 and 410,508 is: 870,847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,509 : 410,508 = 410,508 : x
  2. Step 2: Convert to fraction form
    193,509/410,508 = 410,508/x
  3. Step 3: Cross multiply
    193,509x = 410,508 × 410,508
  4. Step 4: Simplify right side
    193,509x = 168,516,818,064
  5. Step 5: Solve for x
    x = 168,516,818,064/193,509
  6. Step 6: Final answer
    x = 870,847.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.