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Finding the Third Proportional to 375,925 and 810,533

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Solution

The third proportional to 375,925 and 810,533 is: 1,747,592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,925 : 810,533 = 810,533 : x
  2. Step 2: Convert to fraction form
    375,925/810,533 = 810,533/x
  3. Step 3: Cross multiply
    375,925x = 810,533 × 810,533
  4. Step 4: Simplify right side
    375,925x = 656,963,744,089
  5. Step 5: Solve for x
    x = 656,963,744,089/375,925
  6. Step 6: Final answer
    x = 1,747,592.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.