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Finding the Third Proportional to 583,125.75 and 870,189.75

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Solution

The third proportional to 583,125.75 and 870,189.75 is: 1,298,571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,125.75 : 870,189.75 = 870,189.75 : x
  2. Step 2: Convert to fraction form
    583,125.75/870,189.75 = 870,189.75/x
  3. Step 3: Cross multiply
    583,125.75x = 870,189.75 × 870,189.75
  4. Step 4: Simplify right side
    583,125.75x = 757,230,201,005.06
  5. Step 5: Solve for x
    x = 757,230,201,005.06/583,125.75
  6. Step 6: Final answer
    x = 1,298,571.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.