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Finding the Third Proportional to 342,576 and 526,968

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Solution

The third proportional to 342,576 and 526,968 is: 810,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,576 : 526,968 = 526,968 : x
  2. Step 2: Convert to fraction form
    342,576/526,968 = 526,968/x
  3. Step 3: Cross multiply
    342,576x = 526,968 × 526,968
  4. Step 4: Simplify right side
    342,576x = 277,695,273,024
  5. Step 5: Solve for x
    x = 277,695,273,024/342,576
  6. Step 6: Final answer
    x = 810,609.25

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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.