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Finding the Third Proportional to 300,985.88 and 496,226.88

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Solution

The third proportional to 300,985.88 and 496,226.88 is: 818,115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,985.88 : 496,226.88 = 496,226.88 : x
  2. Step 2: Convert to fraction form
    300,985.88/496,226.88 = 496,226.88/x
  3. Step 3: Cross multiply
    300,985.88x = 496,226.88 × 496,226.88
  4. Step 4: Simplify right side
    300,985.88x = 246,241,119,225.81
  5. Step 5: Solve for x
    x = 246,241,119,225.81/300,985.88
  6. Step 6: Final answer
    x = 818,115.20

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.