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Finding the Third Proportional to 327,746.25 and 515,000.53

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Solution

The third proportional to 327,746.25 and 515,000.53 is: 809,240.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,746.25 : 515,000.53 = 515,000.53 : x
  2. Step 2: Convert to fraction form
    327,746.25/515,000.53 = 515,000.53/x
  3. Step 3: Cross multiply
    327,746.25x = 515,000.53 × 515,000.53
  4. Step 4: Simplify right side
    327,746.25x = 265,225,547,187.78
  5. Step 5: Solve for x
    x = 265,225,547,187.78/327,746.25
  6. Step 6: Final answer
    x = 809,240.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.