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Finding the Third Proportional to 499,367 and 772,356

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Solution

The third proportional to 499,367 and 772,356 is: 1,194,579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,367 : 772,356 = 772,356 : x
  2. Step 2: Convert to fraction form
    499,367/772,356 = 772,356/x
  3. Step 3: Cross multiply
    499,367x = 772,356 × 772,356
  4. Step 4: Simplify right side
    499,367x = 596,533,790,736
  5. Step 5: Solve for x
    x = 596,533,790,736/499,367
  6. Step 6: Final answer
    x = 1,194,579.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.