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Finding the Third Proportional to 583,300 and 886,748

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Solution

The third proportional to 583,300 and 886,748 is: 1,348,057.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,300 : 886,748 = 886,748 : x
  2. Step 2: Convert to fraction form
    583,300/886,748 = 886,748/x
  3. Step 3: Cross multiply
    583,300x = 886,748 × 886,748
  4. Step 4: Simplify right side
    583,300x = 786,322,015,504
  5. Step 5: Solve for x
    x = 786,322,015,504/583,300
  6. Step 6: Final answer
    x = 1,348,057.63

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.