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Finding the Third Proportional to 350,933 and 524,060

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Solution

The third proportional to 350,933 and 524,060 is: 782,596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,933 : 524,060 = 524,060 : x
  2. Step 2: Convert to fraction form
    350,933/524,060 = 524,060/x
  3. Step 3: Cross multiply
    350,933x = 524,060 × 524,060
  4. Step 4: Simplify right side
    350,933x = 274,638,883,600
  5. Step 5: Solve for x
    x = 274,638,883,600/350,933
  6. Step 6: Final answer
    x = 782,596.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.