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Finding the Third Proportional to 382,394 and 607,337

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Solution

The third proportional to 382,394 and 607,337 is: 964,602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,394 : 607,337 = 607,337 : x
  2. Step 2: Convert to fraction form
    382,394/607,337 = 607,337/x
  3. Step 3: Cross multiply
    382,394x = 607,337 × 607,337
  4. Step 4: Simplify right side
    382,394x = 368,858,231,569
  5. Step 5: Solve for x
    x = 368,858,231,569/382,394
  6. Step 6: Final answer
    x = 964,602.56

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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.