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Finding the Third Proportional to 225,507 and 524,394

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Solution

The third proportional to 225,507 and 524,394 is: 1,219,425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,507 : 524,394 = 524,394 : x
  2. Step 2: Convert to fraction form
    225,507/524,394 = 524,394/x
  3. Step 3: Cross multiply
    225,507x = 524,394 × 524,394
  4. Step 4: Simplify right side
    225,507x = 274,989,067,236
  5. Step 5: Solve for x
    x = 274,989,067,236/225,507
  6. Step 6: Final answer
    x = 1,219,425.86

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.