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Finding the Third Proportional to 361,795 and 531,853

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Solution

The third proportional to 361,795 and 531,853 is: 781,845.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,795 : 531,853 = 531,853 : x
  2. Step 2: Convert to fraction form
    361,795/531,853 = 531,853/x
  3. Step 3: Cross multiply
    361,795x = 531,853 × 531,853
  4. Step 4: Simplify right side
    361,795x = 282,867,613,609
  5. Step 5: Solve for x
    x = 282,867,613,609/361,795
  6. Step 6: Final answer
    x = 781,845.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.