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Finding the Third Proportional to 579,906 and 867,159

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Solution

The third proportional to 579,906 and 867,159 is: 1,296,701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,906 : 867,159 = 867,159 : x
  2. Step 2: Convert to fraction form
    579,906/867,159 = 867,159/x
  3. Step 3: Cross multiply
    579,906x = 867,159 × 867,159
  4. Step 4: Simplify right side
    579,906x = 751,964,731,281
  5. Step 5: Solve for x
    x = 751,964,731,281/579,906
  6. Step 6: Final answer
    x = 1,296,701.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.