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Finding the Third Proportional to 583,395.75 and 952,624.13

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Solution

The third proportional to 583,395.75 and 952,624.13 is: 1,555,535.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,395.75 : 952,624.13 = 952,624.13 : x
  2. Step 2: Convert to fraction form
    583,395.75/952,624.13 = 952,624.13/x
  3. Step 3: Cross multiply
    583,395.75x = 952,624.13 × 952,624.13
  4. Step 4: Simplify right side
    583,395.75x = 907,492,723,532.02
  5. Step 5: Solve for x
    x = 907,492,723,532.02/583,395.75
  6. Step 6: Final answer
    x = 1,555,535.37

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.