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Finding the Third Proportional to 499,754 and 772,985

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Solution

The third proportional to 499,754 and 772,985 is: 1,195,599.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,754 : 772,985 = 772,985 : x
  2. Step 2: Convert to fraction form
    499,754/772,985 = 772,985/x
  3. Step 3: Cross multiply
    499,754x = 772,985 × 772,985
  4. Step 4: Simplify right side
    499,754x = 597,505,810,225
  5. Step 5: Solve for x
    x = 597,505,810,225/499,754
  6. Step 6: Final answer
    x = 1,195,599.86

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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.