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Finding the Third Proportional to 313,111.83 and 468,841.92

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Solution

The third proportional to 313,111.83 and 468,841.92 is: 702,026.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,111.83 : 468,841.92 = 468,841.92 : x
  2. Step 2: Convert to fraction form
    313,111.83/468,841.92 = 468,841.92/x
  3. Step 3: Cross multiply
    313,111.83x = 468,841.92 × 468,841.92
  4. Step 4: Simplify right side
    313,111.83x = 219,812,747,707.44
  5. Step 5: Solve for x
    x = 219,812,747,707.44/313,111.83
  6. Step 6: Final answer
    x = 702,026.33

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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.