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Finding the Third Proportional to 356,470 and 518,653

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Solution

The third proportional to 356,470 and 518,653 is: 754,624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,470 : 518,653 = 518,653 : x
  2. Step 2: Convert to fraction form
    356,470/518,653 = 518,653/x
  3. Step 3: Cross multiply
    356,470x = 518,653 × 518,653
  4. Step 4: Simplify right side
    356,470x = 269,000,934,409
  5. Step 5: Solve for x
    x = 269,000,934,409/356,470
  6. Step 6: Final answer
    x = 754,624.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.