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Finding the Third Proportional to 512,553 and 814,604.63

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Solution

The third proportional to 512,553 and 814,604.63 is: 1,294,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,553 : 814,604.63 = 814,604.63 : x
  2. Step 2: Convert to fraction form
    512,553/814,604.63 = 814,604.63/x
  3. Step 3: Cross multiply
    512,553x = 814,604.63 × 814,604.63
  4. Step 4: Simplify right side
    512,553x = 663,580,695,071.39
  5. Step 5: Solve for x
    x = 663,580,695,071.39/512,553
  6. Step 6: Final answer
    x = 1,294,657.71

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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.