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Finding the Third Proportional to 375,569 and 810,118

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Solution

The third proportional to 375,569 and 810,118 is: 1,747,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,569 : 810,118 = 810,118 : x
  2. Step 2: Convert to fraction form
    375,569/810,118 = 810,118/x
  3. Step 3: Cross multiply
    375,569x = 810,118 × 810,118
  4. Step 4: Simplify right side
    375,569x = 656,291,173,924
  5. Step 5: Solve for x
    x = 656,291,173,924/375,569
  6. Step 6: Final answer
    x = 1,747,458.32

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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.