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Finding the Third Proportional to 200,972 and 431,084

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Solution

The third proportional to 200,972 and 431,084 is: 924,673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,972 : 431,084 = 431,084 : x
  2. Step 2: Convert to fraction form
    200,972/431,084 = 431,084/x
  3. Step 3: Cross multiply
    200,972x = 431,084 × 431,084
  4. Step 4: Simplify right side
    200,972x = 185,833,415,056
  5. Step 5: Solve for x
    x = 185,833,415,056/200,972
  6. Step 6: Final answer
    x = 924,673.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.