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Finding the Third Proportional to 323,784 and 482,355

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Solution

The third proportional to 323,784 and 482,355 is: 718,585.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,784 : 482,355 = 482,355 : x
  2. Step 2: Convert to fraction form
    323,784/482,355 = 482,355/x
  3. Step 3: Cross multiply
    323,784x = 482,355 × 482,355
  4. Step 4: Simplify right side
    323,784x = 232,666,346,025
  5. Step 5: Solve for x
    x = 232,666,346,025/323,784
  6. Step 6: Final answer
    x = 718,585.06

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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.