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Finding the Third Proportional to 286,902 and 586,476

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Solution

The third proportional to 286,902 and 586,476 is: 1,198,855.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,902 : 586,476 = 586,476 : x
  2. Step 2: Convert to fraction form
    286,902/586,476 = 586,476/x
  3. Step 3: Cross multiply
    286,902x = 586,476 × 586,476
  4. Step 4: Simplify right side
    286,902x = 343,954,098,576
  5. Step 5: Solve for x
    x = 343,954,098,576/286,902
  6. Step 6: Final answer
    x = 1,198,855.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.