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Finding the Third Proportional to 357,462 and 524,163

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Solution

The third proportional to 357,462 and 524,163 is: 768,604.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,462 : 524,163 = 524,163 : x
  2. Step 2: Convert to fraction form
    357,462/524,163 = 524,163/x
  3. Step 3: Cross multiply
    357,462x = 524,163 × 524,163
  4. Step 4: Simplify right side
    357,462x = 274,746,850,569
  5. Step 5: Solve for x
    x = 274,746,850,569/357,462
  6. Step 6: Final answer
    x = 768,604.36

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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.