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Finding the Third Proportional to 408,240 and 865,147.50

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Solution

The third proportional to 408,240 and 865,147.50 is: 1,833,431.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,240 : 865,147.50 = 865,147.50 : x
  2. Step 2: Convert to fraction form
    408,240/865,147.50 = 865,147.50/x
  3. Step 3: Cross multiply
    408,240x = 865,147.50 × 865,147.50
  4. Step 4: Simplify right side
    408,240x = 748,480,196,756.25
  5. Step 5: Solve for x
    x = 748,480,196,756.25/408,240
  6. Step 6: Final answer
    x = 1,833,431.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.