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Finding the Third Proportional to 610,087.50 and 1,328,748.75

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Solution

The third proportional to 610,087.50 and 1,328,748.75 is: 2,893,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,087.50 : 1,328,748.75 = 1,328,748.75 : x
  2. Step 2: Convert to fraction form
    610,087.50/1,328,748.75 = 1,328,748.75/x
  3. Step 3: Cross multiply
    610,087.50x = 1,328,748.75 × 1,328,748.75
  4. Step 4: Simplify right side
    610,087.50x = 1,765,573,240,626.56
  5. Step 5: Solve for x
    x = 1,765,573,240,626.56/610,087.50
  6. Step 6: Final answer
    x = 2,893,967.24

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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.