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Finding the Third Proportional to 578,495.25 and 1,256,495.63

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Solution

The third proportional to 578,495.25 and 1,256,495.63 is: 2,729,117.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,495.25 : 1,256,495.63 = 1,256,495.63 : x
  2. Step 2: Convert to fraction form
    578,495.25/1,256,495.63 = 1,256,495.63/x
  3. Step 3: Cross multiply
    578,495.25x = 1,256,495.63 × 1,256,495.63
  4. Step 4: Simplify right side
    578,495.25x = 1,578,781,255,644.14
  5. Step 5: Solve for x
    x = 1,578,781,255,644.14/578,495.25
  6. Step 6: Final answer
    x = 2,729,117.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.