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Finding the Third Proportional to 583,220.25 and 1,195,495.88

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Solution

The third proportional to 583,220.25 and 1,195,495.88 is: 2,450,550.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,220.25 : 1,195,495.88 = 1,195,495.88 : x
  2. Step 2: Convert to fraction form
    583,220.25/1,195,495.88 = 1,195,495.88/x
  3. Step 3: Cross multiply
    583,220.25x = 1,195,495.88 × 1,195,495.88
  4. Step 4: Simplify right side
    583,220.25x = 1,429,210,387,142.02
  5. Step 5: Solve for x
    x = 1,429,210,387,142.02/583,220.25
  6. Step 6: Final answer
    x = 2,450,550.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.