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Finding the Third Proportional to 406,397.25 and 603,713.25

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Solution

The third proportional to 406,397.25 and 603,713.25 is: 896,831.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,397.25 : 603,713.25 = 603,713.25 : x
  2. Step 2: Convert to fraction form
    406,397.25/603,713.25 = 603,713.25/x
  3. Step 3: Cross multiply
    406,397.25x = 603,713.25 × 603,713.25
  4. Step 4: Simplify right side
    406,397.25x = 364,469,688,225.56
  5. Step 5: Solve for x
    x = 364,469,688,225.56/406,397.25
  6. Step 6: Final answer
    x = 896,831.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.