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Finding the Third Proportional to 583,081.50 and 899,530.50

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Solution

The third proportional to 583,081.50 and 899,530.50 is: 1,387,722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,081.50 : 899,530.50 = 899,530.50 : x
  2. Step 2: Convert to fraction form
    583,081.50/899,530.50 = 899,530.50/x
  3. Step 3: Cross multiply
    583,081.50x = 899,530.50 × 899,530.50
  4. Step 4: Simplify right side
    583,081.50x = 809,155,120,430.25
  5. Step 5: Solve for x
    x = 809,155,120,430.25/583,081.50
  6. Step 6: Final answer
    x = 1,387,722.16

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.