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Finding the Third Proportional to 406,480.15 and 534,636.07

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Solution

The third proportional to 406,480.15 and 534,636.07 is: 703,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,480.15 : 534,636.07 = 534,636.07 : x
  2. Step 2: Convert to fraction form
    406,480.15/534,636.07 = 534,636.07/x
  3. Step 3: Cross multiply
    406,480.15x = 534,636.07 × 534,636.07
  4. Step 4: Simplify right side
    406,480.15x = 285,835,727,679.19
  5. Step 5: Solve for x
    x = 285,835,727,679.19/406,480.15
  6. Step 6: Final answer
    x = 703,197.26

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.