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Finding the Third Proportional to 336,762 and 533,152

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Solution

The third proportional to 336,762 and 533,152 is: 844,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,762 : 533,152 = 533,152 : x
  2. Step 2: Convert to fraction form
    336,762/533,152 = 533,152/x
  3. Step 3: Cross multiply
    336,762x = 533,152 × 533,152
  4. Step 4: Simplify right side
    336,762x = 284,251,055,104
  5. Step 5: Solve for x
    x = 284,251,055,104/336,762
  6. Step 6: Final answer
    x = 844,071.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.