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Finding the Third Proportional to 382,264.50 and 607,297.50

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Solution

The third proportional to 382,264.50 and 607,297.50 is: 964,803.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,264.50 : 607,297.50 = 607,297.50 : x
  2. Step 2: Convert to fraction form
    382,264.50/607,297.50 = 607,297.50/x
  3. Step 3: Cross multiply
    382,264.50x = 607,297.50 × 607,297.50
  4. Step 4: Simplify right side
    382,264.50x = 368,810,253,506.25
  5. Step 5: Solve for x
    x = 368,810,253,506.25/382,264.50
  6. Step 6: Final answer
    x = 964,803.83

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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.