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Finding the Third Proportional to 286,601 and 607,339

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Solution

The third proportional to 286,601 and 607,339 is: 1,287,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,601 : 607,339 = 607,339 : x
  2. Step 2: Convert to fraction form
    286,601/607,339 = 607,339/x
  3. Step 3: Cross multiply
    286,601x = 607,339 × 607,339
  4. Step 4: Simplify right side
    286,601x = 368,860,660,921
  5. Step 5: Solve for x
    x = 368,860,660,921/286,601
  6. Step 6: Final answer
    x = 1,287,018.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.