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Finding the Third Proportional to 322,854 and 637,464

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Solution

The third proportional to 322,854 and 637,464 is: 1,258,650.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,854 : 637,464 = 637,464 : x
  2. Step 2: Convert to fraction form
    322,854/637,464 = 637,464/x
  3. Step 3: Cross multiply
    322,854x = 637,464 × 637,464
  4. Step 4: Simplify right side
    322,854x = 406,360,351,296
  5. Step 5: Solve for x
    x = 406,360,351,296/322,854
  6. Step 6: Final answer
    x = 1,258,650.51

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.