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Finding the Third Proportional to 370,286 and 524,244

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Solution

The third proportional to 370,286 and 524,244 is: 742,214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,286 : 524,244 = 524,244 : x
  2. Step 2: Convert to fraction form
    370,286/524,244 = 524,244/x
  3. Step 3: Cross multiply
    370,286x = 524,244 × 524,244
  4. Step 4: Simplify right side
    370,286x = 274,831,771,536
  5. Step 5: Solve for x
    x = 274,831,771,536/370,286
  6. Step 6: Final answer
    x = 742,214.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.