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Finding the Third Proportional to 382,280 and 607,212

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Solution

The third proportional to 382,280 and 607,212 is: 964,493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,280 : 607,212 = 607,212 : x
  2. Step 2: Convert to fraction form
    382,280/607,212 = 607,212/x
  3. Step 3: Cross multiply
    382,280x = 607,212 × 607,212
  4. Step 4: Simplify right side
    382,280x = 368,706,412,944
  5. Step 5: Solve for x
    x = 368,706,412,944/382,280
  6. Step 6: Final answer
    x = 964,493.08

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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.