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Finding the Third Proportional to 583,827.75 and 746,010

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Solution

The third proportional to 583,827.75 and 746,010 is: 953,245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,827.75 : 746,010 = 746,010 : x
  2. Step 2: Convert to fraction form
    583,827.75/746,010 = 746,010/x
  3. Step 3: Cross multiply
    583,827.75x = 746,010 × 746,010
  4. Step 4: Simplify right side
    583,827.75x = 556,530,920,100
  5. Step 5: Solve for x
    x = 556,530,920,100/583,827.75
  6. Step 6: Final answer
    x = 953,245.06

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.