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Finding the Third Proportional to 583,145.44 and 870,220.69

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Solution

The third proportional to 583,145.44 and 870,220.69 is: 1,298,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,145.44 : 870,220.69 = 870,220.69 : x
  2. Step 2: Convert to fraction form
    583,145.44/870,220.69 = 870,220.69/x
  3. Step 3: Cross multiply
    583,145.44x = 870,220.69 × 870,220.69
  4. Step 4: Simplify right side
    583,145.44x = 757,284,044,952.97
  5. Step 5: Solve for x
    x = 757,284,044,952.97/583,145.44
  6. Step 6: Final answer
    x = 1,298,619.51

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Why These Related Problems?

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