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Finding the Third Proportional to 323,073 and 462,455

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Solution

The third proportional to 323,073 and 462,455 is: 661,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,073 : 462,455 = 462,455 : x
  2. Step 2: Convert to fraction form
    323,073/462,455 = 462,455/x
  3. Step 3: Cross multiply
    323,073x = 462,455 × 462,455
  4. Step 4: Simplify right side
    323,073x = 213,864,627,025
  5. Step 5: Solve for x
    x = 213,864,627,025/323,073
  6. Step 6: Final answer
    x = 661,969.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.