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Finding the Third Proportional to 402,354 and 837,756

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Solution

The third proportional to 402,354 and 837,756 is: 1,744,322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,354 : 837,756 = 837,756 : x
  2. Step 2: Convert to fraction form
    402,354/837,756 = 837,756/x
  3. Step 3: Cross multiply
    402,354x = 837,756 × 837,756
  4. Step 4: Simplify right side
    402,354x = 701,835,115,536
  5. Step 5: Solve for x
    x = 701,835,115,536/402,354
  6. Step 6: Final answer
    x = 1,744,322.45

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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.