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Finding the Third Proportional to 364,513 and 784,903

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Solution

The third proportional to 364,513 and 784,903 is: 1,690,125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,513 : 784,903 = 784,903 : x
  2. Step 2: Convert to fraction form
    364,513/784,903 = 784,903/x
  3. Step 3: Cross multiply
    364,513x = 784,903 × 784,903
  4. Step 4: Simplify right side
    364,513x = 616,072,719,409
  5. Step 5: Solve for x
    x = 616,072,719,409/364,513
  6. Step 6: Final answer
    x = 1,690,125.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.