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Finding the Third Proportional to 375,362 and 582,089

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Solution

The third proportional to 375,362 and 582,089 is: 902,668.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,362 : 582,089 = 582,089 : x
  2. Step 2: Convert to fraction form
    375,362/582,089 = 582,089/x
  3. Step 3: Cross multiply
    375,362x = 582,089 × 582,089
  4. Step 4: Simplify right side
    375,362x = 338,827,603,921
  5. Step 5: Solve for x
    x = 338,827,603,921/375,362
  6. Step 6: Final answer
    x = 902,668.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.