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Finding the Third Proportional to 546,510 and 764,231

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Solution

The third proportional to 546,510 and 764,231 is: 1,068,688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,510 : 764,231 = 764,231 : x
  2. Step 2: Convert to fraction form
    546,510/764,231 = 764,231/x
  3. Step 3: Cross multiply
    546,510x = 764,231 × 764,231
  4. Step 4: Simplify right side
    546,510x = 584,049,021,361
  5. Step 5: Solve for x
    x = 584,049,021,361/546,510
  6. Step 6: Final answer
    x = 1,068,688.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.