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Finding the Third Proportional to 353,646 and 723,634

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Solution

The third proportional to 353,646 and 723,634 is: 1,480,707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,646 : 723,634 = 723,634 : x
  2. Step 2: Convert to fraction form
    353,646/723,634 = 723,634/x
  3. Step 3: Cross multiply
    353,646x = 723,634 × 723,634
  4. Step 4: Simplify right side
    353,646x = 523,646,165,956
  5. Step 5: Solve for x
    x = 523,646,165,956/353,646
  6. Step 6: Final answer
    x = 1,480,707.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.