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Finding the Third Proportional to 327,522.50 and 707,635.50

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Solution

The third proportional to 327,522.50 and 707,635.50 is: 1,528,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,522.50 : 707,635.50 = 707,635.50 : x
  2. Step 2: Convert to fraction form
    327,522.50/707,635.50 = 707,635.50/x
  3. Step 3: Cross multiply
    327,522.50x = 707,635.50 × 707,635.50
  4. Step 4: Simplify right side
    327,522.50x = 500,748,000,860.25
  5. Step 5: Solve for x
    x = 500,748,000,860.25/327,522.50
  6. Step 6: Final answer
    x = 1,528,896.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.