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Finding the Third Proportional to 353,474 and 535,359

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Solution

The third proportional to 353,474 and 535,359 is: 810,835.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,474 : 535,359 = 535,359 : x
  2. Step 2: Convert to fraction form
    353,474/535,359 = 535,359/x
  3. Step 3: Cross multiply
    353,474x = 535,359 × 535,359
  4. Step 4: Simplify right side
    353,474x = 286,609,258,881
  5. Step 5: Solve for x
    x = 286,609,258,881/353,474
  6. Step 6: Final answer
    x = 810,835.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.