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Finding the Third Proportional to 512,436 and 814,272

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Solution

The third proportional to 512,436 and 814,272 is: 1,293,896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,436 : 814,272 = 814,272 : x
  2. Step 2: Convert to fraction form
    512,436/814,272 = 814,272/x
  3. Step 3: Cross multiply
    512,436x = 814,272 × 814,272
  4. Step 4: Simplify right side
    512,436x = 663,038,889,984
  5. Step 5: Solve for x
    x = 663,038,889,984/512,436
  6. Step 6: Final answer
    x = 1,293,896.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.