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Finding the Third Proportional to 499,532.06 and 779,923.69

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Solution

The third proportional to 499,532.06 and 779,923.69 is: 1,217,701.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,532.06 : 779,923.69 = 779,923.69 : x
  2. Step 2: Convert to fraction form
    499,532.06/779,923.69 = 779,923.69/x
  3. Step 3: Cross multiply
    499,532.06x = 779,923.69 × 779,923.69
  4. Step 4: Simplify right side
    499,532.06x = 608,280,958,323.60
  5. Step 5: Solve for x
    x = 608,280,958,323.60/499,532.06
  6. Step 6: Final answer
    x = 1,217,701.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.