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Finding the Third Proportional to 323,841.75 and 507,948.75

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Solution

The third proportional to 323,841.75 and 507,948.75 is: 796,722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,841.75 : 507,948.75 = 507,948.75 : x
  2. Step 2: Convert to fraction form
    323,841.75/507,948.75 = 507,948.75/x
  3. Step 3: Cross multiply
    323,841.75x = 507,948.75 × 507,948.75
  4. Step 4: Simplify right side
    323,841.75x = 258,011,932,626.56
  5. Step 5: Solve for x
    x = 258,011,932,626.56/323,841.75
  6. Step 6: Final answer
    x = 796,722.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.