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Finding the Third Proportional to 509,343 and 689,277

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Solution

The third proportional to 509,343 and 689,277 is: 932,775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,343 : 689,277 = 689,277 : x
  2. Step 2: Convert to fraction form
    509,343/689,277 = 689,277/x
  3. Step 3: Cross multiply
    509,343x = 689,277 × 689,277
  4. Step 4: Simplify right side
    509,343x = 475,102,782,729
  5. Step 5: Solve for x
    x = 475,102,782,729/509,343
  6. Step 6: Final answer
    x = 932,775.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.