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Finding the Third Proportional to 333,158 and 487,243

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Solution

The third proportional to 333,158 and 487,243 is: 712,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,158 : 487,243 = 487,243 : x
  2. Step 2: Convert to fraction form
    333,158/487,243 = 487,243/x
  3. Step 3: Cross multiply
    333,158x = 487,243 × 487,243
  4. Step 4: Simplify right side
    333,158x = 237,405,741,049
  5. Step 5: Solve for x
    x = 237,405,741,049/333,158
  6. Step 6: Final answer
    x = 712,592.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.