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Finding the Third Proportional to 582,212.25 and 1,273,045.50

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Solution

The third proportional to 582,212.25 and 1,273,045.50 is: 2,783,597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,212.25 : 1,273,045.50 = 1,273,045.50 : x
  2. Step 2: Convert to fraction form
    582,212.25/1,273,045.50 = 1,273,045.50/x
  3. Step 3: Cross multiply
    582,212.25x = 1,273,045.50 × 1,273,045.50
  4. Step 4: Simplify right side
    582,212.25x = 1,620,644,845,070.25
  5. Step 5: Solve for x
    x = 1,620,644,845,070.25/582,212.25
  6. Step 6: Final answer
    x = 2,783,597.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.