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Finding the Third Proportional to 322,468 and 697,468

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Solution

The third proportional to 322,468 and 697,468 is: 1,508,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,468 : 697,468 = 697,468 : x
  2. Step 2: Convert to fraction form
    322,468/697,468 = 697,468/x
  3. Step 3: Cross multiply
    322,468x = 697,468 × 697,468
  4. Step 4: Simplify right side
    322,468x = 486,461,611,024
  5. Step 5: Solve for x
    x = 486,461,611,024/322,468
  6. Step 6: Final answer
    x = 1,508,557.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.