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Finding the Third Proportional to 356,548 and 524,166

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Solution

The third proportional to 356,548 and 524,166 is: 770,583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,548 : 524,166 = 524,166 : x
  2. Step 2: Convert to fraction form
    356,548/524,166 = 524,166/x
  3. Step 3: Cross multiply
    356,548x = 524,166 × 524,166
  4. Step 4: Simplify right side
    356,548x = 274,749,995,556
  5. Step 5: Solve for x
    x = 274,749,995,556/356,548
  6. Step 6: Final answer
    x = 770,583.47

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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.