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Finding the Third Proportional to 416,329.50 and 865,383

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Solution

The third proportional to 416,329.50 and 865,383 is: 1,798,786.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,329.50 : 865,383 = 865,383 : x
  2. Step 2: Convert to fraction form
    416,329.50/865,383 = 865,383/x
  3. Step 3: Cross multiply
    416,329.50x = 865,383 × 865,383
  4. Step 4: Simplify right side
    416,329.50x = 748,887,736,689
  5. Step 5: Solve for x
    x = 748,887,736,689/416,329.50
  6. Step 6: Final answer
    x = 1,798,786.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.