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Finding the Third Proportional to 251,137.50 and 592,722.50

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Solution

The third proportional to 251,137.50 and 592,722.50 is: 1,398,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,137.50 : 592,722.50 = 592,722.50 : x
  2. Step 2: Convert to fraction form
    251,137.50/592,722.50 = 592,722.50/x
  3. Step 3: Cross multiply
    251,137.50x = 592,722.50 × 592,722.50
  4. Step 4: Simplify right side
    251,137.50x = 351,319,962,006.25
  5. Step 5: Solve for x
    x = 351,319,962,006.25/251,137.50
  6. Step 6: Final answer
    x = 1,398,914.79

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.