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Finding the Third Proportional to 402,354 and 837,440

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Solution

The third proportional to 402,354 and 837,440 is: 1,743,006.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,354 : 837,440 = 837,440 : x
  2. Step 2: Convert to fraction form
    402,354/837,440 = 837,440/x
  3. Step 3: Cross multiply
    402,354x = 837,440 × 837,440
  4. Step 4: Simplify right side
    402,354x = 701,305,753,600
  5. Step 5: Solve for x
    x = 701,305,753,600/402,354
  6. Step 6: Final answer
    x = 1,743,006.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.