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Finding the Third Proportional to 322,464 and 697,460

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Solution

The third proportional to 322,464 and 697,460 is: 1,508,541.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,464 : 697,460 = 697,460 : x
  2. Step 2: Convert to fraction form
    322,464/697,460 = 697,460/x
  3. Step 3: Cross multiply
    322,464x = 697,460 × 697,460
  4. Step 4: Simplify right side
    322,464x = 486,450,451,600
  5. Step 5: Solve for x
    x = 486,450,451,600/322,464
  6. Step 6: Final answer
    x = 1,508,541.89

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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.