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Finding the Third Proportional to 375,164.13 and 821,483.38

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Solution

The third proportional to 375,164.13 and 821,483.38 is: 1,798,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,164.13 : 821,483.38 = 821,483.38 : x
  2. Step 2: Convert to fraction form
    375,164.13/821,483.38 = 821,483.38/x
  3. Step 3: Cross multiply
    375,164.13x = 821,483.38 × 821,483.38
  4. Step 4: Simplify right side
    375,164.13x = 674,834,935,401.39
  5. Step 5: Solve for x
    x = 674,834,935,401.39/375,164.13
  6. Step 6: Final answer
    x = 1,798,772.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.