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Finding the Third Proportional to 200,529.50 and 428,126.50

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Solution

The third proportional to 200,529.50 and 428,126.50 is: 914,041.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,529.50 : 428,126.50 = 428,126.50 : x
  2. Step 2: Convert to fraction form
    200,529.50/428,126.50 = 428,126.50/x
  3. Step 3: Cross multiply
    200,529.50x = 428,126.50 × 428,126.50
  4. Step 4: Simplify right side
    200,529.50x = 183,292,300,002.25
  5. Step 5: Solve for x
    x = 183,292,300,002.25/200,529.50
  6. Step 6: Final answer
    x = 914,041.57

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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.