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Finding the Third Proportional to 350,854 and 533,658

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Solution

The third proportional to 350,854 and 533,658 is: 811,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,854 : 533,658 = 533,658 : x
  2. Step 2: Convert to fraction form
    350,854/533,658 = 533,658/x
  3. Step 3: Cross multiply
    350,854x = 533,658 × 533,658
  4. Step 4: Simplify right side
    350,854x = 284,790,860,964
  5. Step 5: Solve for x
    x = 284,790,860,964/350,854
  6. Step 6: Final answer
    x = 811,707.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.