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Finding the Third Proportional to 336,376 and 534,909

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Solution

The third proportional to 336,376 and 534,909 is: 850,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,376 : 534,909 = 534,909 : x
  2. Step 2: Convert to fraction form
    336,376/534,909 = 534,909/x
  3. Step 3: Cross multiply
    336,376x = 534,909 × 534,909
  4. Step 4: Simplify right side
    336,376x = 286,127,638,281
  5. Step 5: Solve for x
    x = 286,127,638,281/336,376
  6. Step 6: Final answer
    x = 850,618.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.