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Finding the Third Proportional to 347,442 and 524,853

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Solution

The third proportional to 347,442 and 524,853 is: 792,853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,442 : 524,853 = 524,853 : x
  2. Step 2: Convert to fraction form
    347,442/524,853 = 524,853/x
  3. Step 3: Cross multiply
    347,442x = 524,853 × 524,853
  4. Step 4: Simplify right side
    347,442x = 275,470,671,609
  5. Step 5: Solve for x
    x = 275,470,671,609/347,442
  6. Step 6: Final answer
    x = 792,853.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.