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Finding the Third Proportional to 323,721.50 and 507,823.50

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Solution

The third proportional to 323,721.50 and 507,823.50 is: 796,625.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,721.50 : 507,823.50 = 507,823.50 : x
  2. Step 2: Convert to fraction form
    323,721.50/507,823.50 = 507,823.50/x
  3. Step 3: Cross multiply
    323,721.50x = 507,823.50 × 507,823.50
  4. Step 4: Simplify right side
    323,721.50x = 257,884,707,152.25
  5. Step 5: Solve for x
    x = 257,884,707,152.25/323,721.50
  6. Step 6: Final answer
    x = 796,625.21

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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.