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Finding the Third Proportional to 382,414 and 607,369

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Solution

The third proportional to 382,414 and 607,369 is: 964,653.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,414 : 607,369 = 607,369 : x
  2. Step 2: Convert to fraction form
    382,414/607,369 = 607,369/x
  3. Step 3: Cross multiply
    382,414x = 607,369 × 607,369
  4. Step 4: Simplify right side
    382,414x = 368,897,102,161
  5. Step 5: Solve for x
    x = 368,897,102,161/382,414
  6. Step 6: Final answer
    x = 964,653.76

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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.