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Finding the Third Proportional to 382,261.50 and 607,293

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Solution

The third proportional to 382,261.50 and 607,293 is: 964,797.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,261.50 : 607,293 = 607,293 : x
  2. Step 2: Convert to fraction form
    382,261.50/607,293 = 607,293/x
  3. Step 3: Cross multiply
    382,261.50x = 607,293 × 607,293
  4. Step 4: Simplify right side
    382,261.50x = 368,804,787,849
  5. Step 5: Solve for x
    x = 368,804,787,849/382,261.50
  6. Step 6: Final answer
    x = 964,797.10

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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.