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Finding the Third Proportional to 707,967.50 and 1,061,748.75

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Solution

The third proportional to 707,967.50 and 1,061,748.75 is: 1,592,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,967.50 : 1,061,748.75 = 1,061,748.75 : x
  2. Step 2: Convert to fraction form
    707,967.50/1,061,748.75 = 1,061,748.75/x
  3. Step 3: Cross multiply
    707,967.50x = 1,061,748.75 × 1,061,748.75
  4. Step 4: Simplify right side
    707,967.50x = 1,127,310,408,126.56
  5. Step 5: Solve for x
    x = 1,127,310,408,126.56/707,967.50
  6. Step 6: Final answer
    x = 1,592,319.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.