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Finding the Third Proportional to 399,277.69 and 598,301.44

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Solution

The third proportional to 399,277.69 and 598,301.44 is: 896,530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,277.69 : 598,301.44 = 598,301.44 : x
  2. Step 2: Convert to fraction form
    399,277.69/598,301.44 = 598,301.44/x
  3. Step 3: Cross multiply
    399,277.69x = 598,301.44 × 598,301.44
  4. Step 4: Simplify right side
    399,277.69x = 357,964,610,114.57
  5. Step 5: Solve for x
    x = 357,964,610,114.57/399,277.69
  6. Step 6: Final answer
    x = 896,530.46

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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.