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Finding the Third Proportional to 286,409 and 420,843

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Solution

The third proportional to 286,409 and 420,843 is: 618,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,409 : 420,843 = 420,843 : x
  2. Step 2: Convert to fraction form
    286,409/420,843 = 420,843/x
  3. Step 3: Cross multiply
    286,409x = 420,843 × 420,843
  4. Step 4: Simplify right side
    286,409x = 177,108,830,649
  5. Step 5: Solve for x
    x = 177,108,830,649/286,409
  6. Step 6: Final answer
    x = 618,377.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.