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Finding the Third Proportional to 283,683.50 and 439,239

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Solution

The third proportional to 283,683.50 and 439,239 is: 680,092.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,683.50 : 439,239 = 439,239 : x
  2. Step 2: Convert to fraction form
    283,683.50/439,239 = 439,239/x
  3. Step 3: Cross multiply
    283,683.50x = 439,239 × 439,239
  4. Step 4: Simplify right side
    283,683.50x = 192,930,899,121
  5. Step 5: Solve for x
    x = 192,930,899,121/283,683.50
  6. Step 6: Final answer
    x = 680,092.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.