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Finding the Third Proportional to 202,677 and 431,596.50

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Solution

The third proportional to 202,677 and 431,596.50 is: 919,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,677 : 431,596.50 = 431,596.50 : x
  2. Step 2: Convert to fraction form
    202,677/431,596.50 = 431,596.50/x
  3. Step 3: Cross multiply
    202,677x = 431,596.50 × 431,596.50
  4. Step 4: Simplify right side
    202,677x = 186,275,538,812.25
  5. Step 5: Solve for x
    x = 186,275,538,812.25/202,677
  6. Step 6: Final answer
    x = 919,075.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.