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Finding the Third Proportional to 187,571 and 433,854

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Solution

The third proportional to 187,571 and 433,854 is: 1,003,509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,571 : 433,854 = 433,854 : x
  2. Step 2: Convert to fraction form
    187,571/433,854 = 433,854/x
  3. Step 3: Cross multiply
    187,571x = 433,854 × 433,854
  4. Step 4: Simplify right side
    187,571x = 188,229,293,316
  5. Step 5: Solve for x
    x = 188,229,293,316/187,571
  6. Step 6: Final answer
    x = 1,003,509.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.