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Finding the Third Proportional to 201,943 and 410,508

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Solution

The third proportional to 201,943 and 410,508 is: 834,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,943 : 410,508 = 410,508 : x
  2. Step 2: Convert to fraction form
    201,943/410,508 = 410,508/x
  3. Step 3: Cross multiply
    201,943x = 410,508 × 410,508
  4. Step 4: Simplify right side
    201,943x = 168,516,818,064
  5. Step 5: Solve for x
    x = 168,516,818,064/201,943
  6. Step 6: Final answer
    x = 834,477.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.