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Finding the Third Proportional to 248,702.63 and 532,860.75

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Solution

The third proportional to 248,702.63 and 532,860.75 is: 1,141,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,702.63 : 532,860.75 = 532,860.75 : x
  2. Step 2: Convert to fraction form
    248,702.63/532,860.75 = 532,860.75/x
  3. Step 3: Cross multiply
    248,702.63x = 532,860.75 × 532,860.75
  4. Step 4: Simplify right side
    248,702.63x = 283,940,578,890.56
  5. Step 5: Solve for x
    x = 283,940,578,890.56/248,702.63
  6. Step 6: Final answer
    x = 1,141,687.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.