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Finding the Third Proportional to 583,169.06 and 912,822.75

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Solution

The third proportional to 583,169.06 and 912,822.75 is: 1,428,823.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,169.06 : 912,822.75 = 912,822.75 : x
  2. Step 2: Convert to fraction form
    583,169.06/912,822.75 = 912,822.75/x
  3. Step 3: Cross multiply
    583,169.06x = 912,822.75 × 912,822.75
  4. Step 4: Simplify right side
    583,169.06x = 833,245,372,917.56
  5. Step 5: Solve for x
    x = 833,245,372,917.56/583,169.06
  6. Step 6: Final answer
    x = 1,428,823.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.