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Finding the Third Proportional to 336,746 and 522,827

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Solution

The third proportional to 336,746 and 522,827 is: 811,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,746 : 522,827 = 522,827 : x
  2. Step 2: Convert to fraction form
    336,746/522,827 = 522,827/x
  3. Step 3: Cross multiply
    336,746x = 522,827 × 522,827
  4. Step 4: Simplify right side
    336,746x = 273,348,071,929
  5. Step 5: Solve for x
    x = 273,348,071,929/336,746
  6. Step 6: Final answer
    x = 811,733.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.