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Finding the Third Proportional to 374,908.50 and 535,744.13

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Solution

The third proportional to 374,908.50 and 535,744.13 is: 765,578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,908.50 : 535,744.13 = 535,744.13 : x
  2. Step 2: Convert to fraction form
    374,908.50/535,744.13 = 535,744.13/x
  3. Step 3: Cross multiply
    374,908.50x = 535,744.13 × 535,744.13
  4. Step 4: Simplify right side
    374,908.50x = 287,021,767,472.02
  5. Step 5: Solve for x
    x = 287,021,767,472.02/374,908.50
  6. Step 6: Final answer
    x = 765,578.18

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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.