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Finding the Third Proportional to 350,474 and 525,127

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Solution

The third proportional to 350,474 and 525,127 is: 786,815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,474 : 525,127 = 525,127 : x
  2. Step 2: Convert to fraction form
    350,474/525,127 = 525,127/x
  3. Step 3: Cross multiply
    350,474x = 525,127 × 525,127
  4. Step 4: Simplify right side
    350,474x = 275,758,366,129
  5. Step 5: Solve for x
    x = 275,758,366,129/350,474
  6. Step 6: Final answer
    x = 786,815.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.