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Finding the Third Proportional to 382,284 and 607,218

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Solution

The third proportional to 382,284 and 607,218 is: 964,502.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,284 : 607,218 = 607,218 : x
  2. Step 2: Convert to fraction form
    382,284/607,218 = 607,218/x
  3. Step 3: Cross multiply
    382,284x = 607,218 × 607,218
  4. Step 4: Simplify right side
    382,284x = 368,713,699,524
  5. Step 5: Solve for x
    x = 368,713,699,524/382,284
  6. Step 6: Final answer
    x = 964,502.04

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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.