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Finding the Third Proportional to 323,605.50 and 506,530.50

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Solution

The third proportional to 323,605.50 and 506,530.50 is: 792,857.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,605.50 : 506,530.50 = 506,530.50 : x
  2. Step 2: Convert to fraction form
    323,605.50/506,530.50 = 506,530.50/x
  3. Step 3: Cross multiply
    323,605.50x = 506,530.50 × 506,530.50
  4. Step 4: Simplify right side
    323,605.50x = 256,573,147,430.25
  5. Step 5: Solve for x
    x = 256,573,147,430.25/323,605.50
  6. Step 6: Final answer
    x = 792,857.81

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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.