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Finding the Third Proportional to 382,412 and 607,366

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Solution

The third proportional to 382,412 and 607,366 is: 964,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,412 : 607,366 = 607,366 : x
  2. Step 2: Convert to fraction form
    382,412/607,366 = 607,366/x
  3. Step 3: Cross multiply
    382,412x = 607,366 × 607,366
  4. Step 4: Simplify right side
    382,412x = 368,893,457,956
  5. Step 5: Solve for x
    x = 368,893,457,956/382,412
  6. Step 6: Final answer
    x = 964,649.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.