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Finding the Third Proportional to 353,422 and 736,652

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Solution

The third proportional to 353,422 and 736,652 is: 1,535,434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,422 : 736,652 = 736,652 : x
  2. Step 2: Convert to fraction form
    353,422/736,652 = 736,652/x
  3. Step 3: Cross multiply
    353,422x = 736,652 × 736,652
  4. Step 4: Simplify right side
    353,422x = 542,656,169,104
  5. Step 5: Solve for x
    x = 542,656,169,104/353,422
  6. Step 6: Final answer
    x = 1,535,434.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.