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Finding the Third Proportional to 582,256.50 and 1,267,029

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Solution

The third proportional to 582,256.50 and 1,267,029 is: 2,757,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,256.50 : 1,267,029 = 1,267,029 : x
  2. Step 2: Convert to fraction form
    582,256.50/1,267,029 = 1,267,029/x
  3. Step 3: Cross multiply
    582,256.50x = 1,267,029 × 1,267,029
  4. Step 4: Simplify right side
    582,256.50x = 1,605,362,486,841
  5. Step 5: Solve for x
    x = 1,605,362,486,841/582,256.50
  6. Step 6: Final answer
    x = 2,757,139.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.