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Finding the Third Proportional to 393,473 and 577,162

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Solution

The third proportional to 393,473 and 577,162 is: 846,604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,473 : 577,162 = 577,162 : x
  2. Step 2: Convert to fraction form
    393,473/577,162 = 577,162/x
  3. Step 3: Cross multiply
    393,473x = 577,162 × 577,162
  4. Step 4: Simplify right side
    393,473x = 333,115,974,244
  5. Step 5: Solve for x
    x = 333,115,974,244/393,473
  6. Step 6: Final answer
    x = 846,604.40

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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.