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Finding the Third Proportional to 443,523 and 694,955

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Solution

The third proportional to 443,523 and 694,955 is: 1,088,923.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,523 : 694,955 = 694,955 : x
  2. Step 2: Convert to fraction form
    443,523/694,955 = 694,955/x
  3. Step 3: Cross multiply
    443,523x = 694,955 × 694,955
  4. Step 4: Simplify right side
    443,523x = 482,962,452,025
  5. Step 5: Solve for x
    x = 482,962,452,025/443,523
  6. Step 6: Final answer
    x = 1,088,923.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.