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Finding the Third Proportional to 521,750 and 744,351

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Solution

The third proportional to 521,750 and 744,351 is: 1,061,923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,750 : 744,351 = 744,351 : x
  2. Step 2: Convert to fraction form
    521,750/744,351 = 744,351/x
  3. Step 3: Cross multiply
    521,750x = 744,351 × 744,351
  4. Step 4: Simplify right side
    521,750x = 554,058,411,201
  5. Step 5: Solve for x
    x = 554,058,411,201/521,750
  6. Step 6: Final answer
    x = 1,061,923.16

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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.