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Finding the Third Proportional to 323,775 and 506,853

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Solution

The third proportional to 323,775 and 506,853 is: 793,452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,775 : 506,853 = 506,853 : x
  2. Step 2: Convert to fraction form
    323,775/506,853 = 506,853/x
  3. Step 3: Cross multiply
    323,775x = 506,853 × 506,853
  4. Step 4: Simplify right side
    323,775x = 256,899,963,609
  5. Step 5: Solve for x
    x = 256,899,963,609/323,775
  6. Step 6: Final answer
    x = 793,452.13

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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.