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Finding the Third Proportional to 338,664 and 464,402

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Solution

The third proportional to 338,664 and 464,402 is: 636,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,664 : 464,402 = 464,402 : x
  2. Step 2: Convert to fraction form
    338,664/464,402 = 464,402/x
  3. Step 3: Cross multiply
    338,664x = 464,402 × 464,402
  4. Step 4: Simplify right side
    338,664x = 215,669,217,604
  5. Step 5: Solve for x
    x = 215,669,217,604/338,664
  6. Step 6: Final answer
    x = 636,823.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.