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Finding the Third Proportional to 200,062 and 437,300

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Solution

The third proportional to 200,062 and 437,300 is: 955,860.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,062 : 437,300 = 437,300 : x
  2. Step 2: Convert to fraction form
    200,062/437,300 = 437,300/x
  3. Step 3: Cross multiply
    200,062x = 437,300 × 437,300
  4. Step 4: Simplify right side
    200,062x = 191,231,290,000
  5. Step 5: Solve for x
    x = 191,231,290,000/200,062
  6. Step 6: Final answer
    x = 955,860.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.