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Finding the Third Proportional to 443,528 and 694,961

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Solution

The third proportional to 443,528 and 694,961 is: 1,088,929.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,528 : 694,961 = 694,961 : x
  2. Step 2: Convert to fraction form
    443,528/694,961 = 694,961/x
  3. Step 3: Cross multiply
    443,528x = 694,961 × 694,961
  4. Step 4: Simplify right side
    443,528x = 482,970,791,521
  5. Step 5: Solve for x
    x = 482,970,791,521/443,528
  6. Step 6: Final answer
    x = 1,088,929.65

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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.