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Finding the Third Proportional to 375,334 and 582,047

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Solution

The third proportional to 375,334 and 582,047 is: 902,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,334 : 582,047 = 582,047 : x
  2. Step 2: Convert to fraction form
    375,334/582,047 = 582,047/x
  3. Step 3: Cross multiply
    375,334x = 582,047 × 582,047
  4. Step 4: Simplify right side
    375,334x = 338,778,710,209
  5. Step 5: Solve for x
    x = 338,778,710,209/375,334
  6. Step 6: Final answer
    x = 902,605.97

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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.