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Finding the Third Proportional to 382,279 and 607,317

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Solution

The third proportional to 382,279 and 607,317 is: 964,829.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,279 : 607,317 = 607,317 : x
  2. Step 2: Convert to fraction form
    382,279/607,317 = 607,317/x
  3. Step 3: Cross multiply
    382,279x = 607,317 × 607,317
  4. Step 4: Simplify right side
    382,279x = 368,833,938,489
  5. Step 5: Solve for x
    x = 368,833,938,489/382,279
  6. Step 6: Final answer
    x = 964,829.19

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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.