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Finding the Third Proportional to 565,624.13 and 791,196.75

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Solution

The third proportional to 565,624.13 and 791,196.75 is: 1,106,728.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,624.13 : 791,196.75 = 791,196.75 : x
  2. Step 2: Convert to fraction form
    565,624.13/791,196.75 = 791,196.75/x
  3. Step 3: Cross multiply
    565,624.13x = 791,196.75 × 791,196.75
  4. Step 4: Simplify right side
    565,624.13x = 625,992,297,210.56
  5. Step 5: Solve for x
    x = 625,992,297,210.56/565,624.13
  6. Step 6: Final answer
    x = 1,106,728.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.