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Finding the Third Proportional to 323,840.81 and 507,947.63

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Solution

The third proportional to 323,840.81 and 507,947.63 is: 796,721.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,840.81 : 507,947.63 = 507,947.63 : x
  2. Step 2: Convert to fraction form
    323,840.81/507,947.63 = 507,947.63/x
  3. Step 3: Cross multiply
    323,840.81x = 507,947.63 × 507,947.63
  4. Step 4: Simplify right side
    323,840.81x = 258,010,789,743.14
  5. Step 5: Solve for x
    x = 258,010,789,743.14/323,840.81
  6. Step 6: Final answer
    x = 796,721.04

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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.