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Finding the Third Proportional to 393,436 and 577,243

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Solution

The third proportional to 393,436 and 577,243 is: 846,921.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,436 : 577,243 = 577,243 : x
  2. Step 2: Convert to fraction form
    393,436/577,243 = 577,243/x
  3. Step 3: Cross multiply
    393,436x = 577,243 × 577,243
  4. Step 4: Simplify right side
    393,436x = 333,209,481,049
  5. Step 5: Solve for x
    x = 333,209,481,049/393,436
  6. Step 6: Final answer
    x = 846,921.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.