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Finding the Third Proportional to 506,096 and 764,372

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Solution

The third proportional to 506,096 and 764,372 is: 1,154,454.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,096 : 764,372 = 764,372 : x
  2. Step 2: Convert to fraction form
    506,096/764,372 = 764,372/x
  3. Step 3: Cross multiply
    506,096x = 764,372 × 764,372
  4. Step 4: Simplify right side
    506,096x = 584,264,554,384
  5. Step 5: Solve for x
    x = 584,264,554,384/506,096
  6. Step 6: Final answer
    x = 1,154,454.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.