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Finding the Third Proportional to 323,767 and 506,784

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Solution

The third proportional to 323,767 and 506,784 is: 793,255.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,767 : 506,784 = 506,784 : x
  2. Step 2: Convert to fraction form
    323,767/506,784 = 506,784/x
  3. Step 3: Cross multiply
    323,767x = 506,784 × 506,784
  4. Step 4: Simplify right side
    323,767x = 256,830,022,656
  5. Step 5: Solve for x
    x = 256,830,022,656/323,767
  6. Step 6: Final answer
    x = 793,255.71

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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.