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Finding the Third Proportional to 345,415.50 and 526,479.75

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Solution

The third proportional to 345,415.50 and 526,479.75 is: 802,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,415.50 : 526,479.75 = 526,479.75 : x
  2. Step 2: Convert to fraction form
    345,415.50/526,479.75 = 526,479.75/x
  3. Step 3: Cross multiply
    345,415.50x = 526,479.75 × 526,479.75
  4. Step 4: Simplify right side
    345,415.50x = 277,180,927,160.06
  5. Step 5: Solve for x
    x = 277,180,927,160.06/345,415.50
  6. Step 6: Final answer
    x = 802,456.54

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.