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Finding the Third Proportional to 374,901.75 and 535,734.75

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Solution

The third proportional to 374,901.75 and 535,734.75 is: 765,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,901.75 : 535,734.75 = 535,734.75 : x
  2. Step 2: Convert to fraction form
    374,901.75/535,734.75 = 535,734.75/x
  3. Step 3: Cross multiply
    374,901.75x = 535,734.75 × 535,734.75
  4. Step 4: Simplify right side
    374,901.75x = 287,011,722,357.56
  5. Step 5: Solve for x
    x = 287,011,722,357.56/374,901.75
  6. Step 6: Final answer
    x = 765,565.17

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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.