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Finding the Third Proportional to 335,264 and 723,016

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Solution

The third proportional to 335,264 and 723,016 is: 1,559,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,264 : 723,016 = 723,016 : x
  2. Step 2: Convert to fraction form
    335,264/723,016 = 723,016/x
  3. Step 3: Cross multiply
    335,264x = 723,016 × 723,016
  4. Step 4: Simplify right side
    335,264x = 522,752,136,256
  5. Step 5: Solve for x
    x = 522,752,136,256/335,264
  6. Step 6: Final answer
    x = 1,559,225.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.