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Finding the Third Proportional to 373,326 and 814,464

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Solution

The third proportional to 373,326 and 814,464 is: 1,776,869.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,326 : 814,464 = 814,464 : x
  2. Step 2: Convert to fraction form
    373,326/814,464 = 814,464/x
  3. Step 3: Cross multiply
    373,326x = 814,464 × 814,464
  4. Step 4: Simplify right side
    373,326x = 663,351,607,296
  5. Step 5: Solve for x
    x = 663,351,607,296/373,326
  6. Step 6: Final answer
    x = 1,776,869.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.