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Finding the Third Proportional to 323,584.88 and 506,503.13

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Solution

The third proportional to 323,584.88 and 506,503.13 is: 792,822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,584.88 : 506,503.13 = 506,503.13 : x
  2. Step 2: Convert to fraction form
    323,584.88/506,503.13 = 506,503.13/x
  3. Step 3: Cross multiply
    323,584.88x = 506,503.13 × 506,503.13
  4. Step 4: Simplify right side
    323,584.88x = 256,545,415,634.77
  5. Step 5: Solve for x
    x = 256,545,415,634.77/323,584.88
  6. Step 6: Final answer
    x = 792,822.64

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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.