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Finding the Third Proportional to 356,856 and 525,427

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Solution

The third proportional to 356,856 and 525,427 is: 773,627.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,856 : 525,427 = 525,427 : x
  2. Step 2: Convert to fraction form
    356,856/525,427 = 525,427/x
  3. Step 3: Cross multiply
    356,856x = 525,427 × 525,427
  4. Step 4: Simplify right side
    356,856x = 276,073,532,329
  5. Step 5: Solve for x
    x = 276,073,532,329/356,856
  6. Step 6: Final answer
    x = 773,627.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.