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Finding the Third Proportional to 286,498 and 607,146

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Solution

The third proportional to 286,498 and 607,146 is: 1,286,662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,498 : 607,146 = 607,146 : x
  2. Step 2: Convert to fraction form
    286,498/607,146 = 607,146/x
  3. Step 3: Cross multiply
    286,498x = 607,146 × 607,146
  4. Step 4: Simplify right side
    286,498x = 368,626,265,316
  5. Step 5: Solve for x
    x = 368,626,265,316/286,498
  6. Step 6: Final answer
    x = 1,286,662.61

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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.