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Finding the Third Proportional to 376,053 and 582,570

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Solution

The third proportional to 376,053 and 582,570 is: 902,499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,053 : 582,570 = 582,570 : x
  2. Step 2: Convert to fraction form
    376,053/582,570 = 582,570/x
  3. Step 3: Cross multiply
    376,053x = 582,570 × 582,570
  4. Step 4: Simplify right side
    376,053x = 339,387,804,900
  5. Step 5: Solve for x
    x = 339,387,804,900/376,053
  6. Step 6: Final answer
    x = 902,499.93

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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.