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Finding the Third Proportional to 467,694 and 684,033

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Solution

The third proportional to 467,694 and 684,033 is: 1,000,442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,694 : 684,033 = 684,033 : x
  2. Step 2: Convert to fraction form
    467,694/684,033 = 684,033/x
  3. Step 3: Cross multiply
    467,694x = 684,033 × 684,033
  4. Step 4: Simplify right side
    467,694x = 467,901,145,089
  5. Step 5: Solve for x
    x = 467,901,145,089/467,694
  6. Step 6: Final answer
    x = 1,000,442.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.