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Finding the Third Proportional to 364,024.50 and 798,033

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Solution

The third proportional to 364,024.50 and 798,033 is: 1,749,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,024.50 : 798,033 = 798,033 : x
  2. Step 2: Convert to fraction form
    364,024.50/798,033 = 798,033/x
  3. Step 3: Cross multiply
    364,024.50x = 798,033 × 798,033
  4. Step 4: Simplify right side
    364,024.50x = 636,856,669,089
  5. Step 5: Solve for x
    x = 636,856,669,089/364,024.50
  6. Step 6: Final answer
    x = 1,749,488.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.