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Finding the Third Proportional to 335,260 and 723,008

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Solution

The third proportional to 335,260 and 723,008 is: 1,559,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,260 : 723,008 = 723,008 : x
  2. Step 2: Convert to fraction form
    335,260/723,008 = 723,008/x
  3. Step 3: Cross multiply
    335,260x = 723,008 × 723,008
  4. Step 4: Simplify right side
    335,260x = 522,740,568,064
  5. Step 5: Solve for x
    x = 522,740,568,064/335,260
  6. Step 6: Final answer
    x = 1,559,209.47

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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.