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Finding the Third Proportional to 375,849 and 819,533.25

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Solution

The third proportional to 375,849 and 819,533.25 is: 1,786,980.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,849 : 819,533.25 = 819,533.25 : x
  2. Step 2: Convert to fraction form
    375,849/819,533.25 = 819,533.25/x
  3. Step 3: Cross multiply
    375,849x = 819,533.25 × 819,533.25
  4. Step 4: Simplify right side
    375,849x = 671,634,747,855.56
  5. Step 5: Solve for x
    x = 671,634,747,855.56/375,849
  6. Step 6: Final answer
    x = 1,786,980.27

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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.