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Finding the Third Proportional to 534,341 and 765,412

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Solution

The third proportional to 534,341 and 765,412 is: 1,096,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,341 : 765,412 = 765,412 : x
  2. Step 2: Convert to fraction form
    534,341/765,412 = 765,412/x
  3. Step 3: Cross multiply
    534,341x = 765,412 × 765,412
  4. Step 4: Simplify right side
    534,341x = 585,855,529,744
  5. Step 5: Solve for x
    x = 585,855,529,744/534,341
  6. Step 6: Final answer
    x = 1,096,407.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.