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Finding the Third Proportional to 399,567.94 and 599,807.53

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Solution

The third proportional to 399,567.94 and 599,807.53 is: 900,395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,567.94 : 599,807.53 = 599,807.53 : x
  2. Step 2: Convert to fraction form
    399,567.94/599,807.53 = 599,807.53/x
  3. Step 3: Cross multiply
    399,567.94x = 599,807.53 × 599,807.53
  4. Step 4: Simplify right side
    399,567.94x = 359,769,074,544.22
  5. Step 5: Solve for x
    x = 359,769,074,544.22/399,567.94
  6. Step 6: Final answer
    x = 900,395.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.