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Finding the Third Proportional to 583,200 and 1,267,456

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Solution

The third proportional to 583,200 and 1,267,456 is: 2,754,534.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,200 : 1,267,456 = 1,267,456 : x
  2. Step 2: Convert to fraction form
    583,200/1,267,456 = 1,267,456/x
  3. Step 3: Cross multiply
    583,200x = 1,267,456 × 1,267,456
  4. Step 4: Simplify right side
    583,200x = 1,606,444,711,936
  5. Step 5: Solve for x
    x = 1,606,444,711,936/583,200
  6. Step 6: Final answer
    x = 2,754,534.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.