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Finding the Third Proportional to 443,592 and 694,959

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Solution

The third proportional to 443,592 and 694,959 is: 1,088,766.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,592 : 694,959 = 694,959 : x
  2. Step 2: Convert to fraction form
    443,592/694,959 = 694,959/x
  3. Step 3: Cross multiply
    443,592x = 694,959 × 694,959
  4. Step 4: Simplify right side
    443,592x = 482,968,011,681
  5. Step 5: Solve for x
    x = 482,968,011,681/443,592
  6. Step 6: Final answer
    x = 1,088,766.28

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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.