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Finding the Third Proportional to 521,581.50 and 744,462

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Solution

The third proportional to 521,581.50 and 744,462 is: 1,062,583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,581.50 : 744,462 = 744,462 : x
  2. Step 2: Convert to fraction form
    521,581.50/744,462 = 744,462/x
  3. Step 3: Cross multiply
    521,581.50x = 744,462 × 744,462
  4. Step 4: Simplify right side
    521,581.50x = 554,223,669,444
  5. Step 5: Solve for x
    x = 554,223,669,444/521,581.50
  6. Step 6: Final answer
    x = 1,062,583.07

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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.