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Finding the Third Proportional to 365,824.50 and 798,681

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Solution

The third proportional to 365,824.50 and 798,681 is: 1,743,708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,824.50 : 798,681 = 798,681 : x
  2. Step 2: Convert to fraction form
    365,824.50/798,681 = 798,681/x
  3. Step 3: Cross multiply
    365,824.50x = 798,681 × 798,681
  4. Step 4: Simplify right side
    365,824.50x = 637,891,339,761
  5. Step 5: Solve for x
    x = 637,891,339,761/365,824.50
  6. Step 6: Final answer
    x = 1,743,708.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.