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Finding the Third Proportional to 342,382.50 and 526,929.75

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Solution

The third proportional to 342,382.50 and 526,929.75 is: 810,949.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,382.50 : 526,929.75 = 526,929.75 : x
  2. Step 2: Convert to fraction form
    342,382.50/526,929.75 = 526,929.75/x
  3. Step 3: Cross multiply
    342,382.50x = 526,929.75 × 526,929.75
  4. Step 4: Simplify right side
    342,382.50x = 277,654,961,435.06
  5. Step 5: Solve for x
    x = 277,654,961,435.06/342,382.50
  6. Step 6: Final answer
    x = 810,949.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.