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Finding the Third Proportional to 443,920 and 680,784

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Solution

The third proportional to 443,920 and 680,784 is: 1,044,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,920 : 680,784 = 680,784 : x
  2. Step 2: Convert to fraction form
    443,920/680,784 = 680,784/x
  3. Step 3: Cross multiply
    443,920x = 680,784 × 680,784
  4. Step 4: Simplify right side
    443,920x = 463,466,854,656
  5. Step 5: Solve for x
    x = 463,466,854,656/443,920
  6. Step 6: Final answer
    x = 1,044,032.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.