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Finding the Third Proportional to 297,664 and 416,364

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Solution

The third proportional to 297,664 and 416,364 is: 582,398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,664 : 416,364 = 416,364 : x
  2. Step 2: Convert to fraction form
    297,664/416,364 = 416,364/x
  3. Step 3: Cross multiply
    297,664x = 416,364 × 416,364
  4. Step 4: Simplify right side
    297,664x = 173,358,980,496
  5. Step 5: Solve for x
    x = 173,358,980,496/297,664
  6. Step 6: Final answer
    x = 582,398.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.