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Finding the Third Proportional to 382,384 and 607,324

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Solution

The third proportional to 382,384 and 607,324 is: 964,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,384 : 607,324 = 607,324 : x
  2. Step 2: Convert to fraction form
    382,384/607,324 = 607,324/x
  3. Step 3: Cross multiply
    382,384x = 607,324 × 607,324
  4. Step 4: Simplify right side
    382,384x = 368,842,440,976
  5. Step 5: Solve for x
    x = 368,842,440,976/382,384
  6. Step 6: Final answer
    x = 964,586.49

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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.