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Finding the Third Proportional to 401,697 and 533,106

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Solution

The third proportional to 401,697 and 533,106 is: 707,503.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,697 : 533,106 = 533,106 : x
  2. Step 2: Convert to fraction form
    401,697/533,106 = 533,106/x
  3. Step 3: Cross multiply
    401,697x = 533,106 × 533,106
  4. Step 4: Simplify right side
    401,697x = 284,202,007,236
  5. Step 5: Solve for x
    x = 284,202,007,236/401,697
  6. Step 6: Final answer
    x = 707,503.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.