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Finding the Third Proportional to 622,270.50 and 1,357,165.50

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Solution

The third proportional to 622,270.50 and 1,357,165.50 is: 2,959,963.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,270.50 : 1,357,165.50 = 1,357,165.50 : x
  2. Step 2: Convert to fraction form
    622,270.50/1,357,165.50 = 1,357,165.50/x
  3. Step 3: Cross multiply
    622,270.50x = 1,357,165.50 × 1,357,165.50
  4. Step 4: Simplify right side
    622,270.50x = 1,841,898,194,390.25
  5. Step 5: Solve for x
    x = 1,841,898,194,390.25/622,270.50
  6. Step 6: Final answer
    x = 2,959,963.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.