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Finding the Third Proportional to 382,272 and 607,200

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Solution

The third proportional to 382,272 and 607,200 is: 964,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,272 : 607,200 = 607,200 : x
  2. Step 2: Convert to fraction form
    382,272/607,200 = 607,200/x
  3. Step 3: Cross multiply
    382,272x = 607,200 × 607,200
  4. Step 4: Simplify right side
    382,272x = 368,691,840,000
  5. Step 5: Solve for x
    x = 368,691,840,000/382,272
  6. Step 6: Final answer
    x = 964,475.14

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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.