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Finding the Third Proportional to 375,875.44 and 819,608.63

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Solution

The third proportional to 375,875.44 and 819,608.63 is: 1,787,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,875.44 : 819,608.63 = 819,608.63 : x
  2. Step 2: Convert to fraction form
    375,875.44/819,608.63 = 819,608.63/x
  3. Step 3: Cross multiply
    375,875.44x = 819,608.63 × 819,608.63
  4. Step 4: Simplify right side
    375,875.44x = 671,758,298,174.39
  5. Step 5: Solve for x
    x = 671,758,298,174.39/375,875.44
  6. Step 6: Final answer
    x = 1,787,183.28

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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.