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Finding the Third Proportional to 231,702.19 and 501,940.13

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Solution

The third proportional to 231,702.19 and 501,940.13 is: 1,087,360.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,702.19 : 501,940.13 = 501,940.13 : x
  2. Step 2: Convert to fraction form
    231,702.19/501,940.13 = 501,940.13/x
  3. Step 3: Cross multiply
    231,702.19x = 501,940.13 × 501,940.13
  4. Step 4: Simplify right side
    231,702.19x = 251,943,889,085.02
  5. Step 5: Solve for x
    x = 251,943,889,085.02/231,702.19
  6. Step 6: Final answer
    x = 1,087,360.86

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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.