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Finding the Third Proportional to 286,908 and 586,488

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Solution

The third proportional to 286,908 and 586,488 is: 1,198,879.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,908 : 586,488 = 586,488 : x
  2. Step 2: Convert to fraction form
    286,908/586,488 = 586,488/x
  3. Step 3: Cross multiply
    286,908x = 586,488 × 586,488
  4. Step 4: Simplify right side
    286,908x = 343,968,174,144
  5. Step 5: Solve for x
    x = 343,968,174,144/286,908
  6. Step 6: Final answer
    x = 1,198,879.69

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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.