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Finding the Third Proportional to 286,896 and 586,464

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Solution

The third proportional to 286,896 and 586,464 is: 1,198,831.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,896 : 586,464 = 586,464 : x
  2. Step 2: Convert to fraction form
    286,896/586,464 = 586,464/x
  3. Step 3: Cross multiply
    286,896x = 586,464 × 586,464
  4. Step 4: Simplify right side
    286,896x = 343,940,023,296
  5. Step 5: Solve for x
    x = 343,940,023,296/286,896
  6. Step 6: Final answer
    x = 1,198,831.71

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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.