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Finding the Third Proportional to 353,422 and 736,646

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Solution

The third proportional to 353,422 and 736,646 is: 1,535,409.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,422 : 736,646 = 736,646 : x
  2. Step 2: Convert to fraction form
    353,422/736,646 = 736,646/x
  3. Step 3: Cross multiply
    353,422x = 736,646 × 736,646
  4. Step 4: Simplify right side
    353,422x = 542,647,329,316
  5. Step 5: Solve for x
    x = 542,647,329,316/353,422
  6. Step 6: Final answer
    x = 1,535,409.03

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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.