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Finding the Third Proportional to 371,452 and 525,102

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Solution

The third proportional to 371,452 and 525,102 is: 742,308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,452 : 525,102 = 525,102 : x
  2. Step 2: Convert to fraction form
    371,452/525,102 = 525,102/x
  3. Step 3: Cross multiply
    371,452x = 525,102 × 525,102
  4. Step 4: Simplify right side
    371,452x = 275,732,110,404
  5. Step 5: Solve for x
    x = 275,732,110,404/371,452
  6. Step 6: Final answer
    x = 742,308.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.