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Finding the Third Proportional to 453,676.50 and 684,159.75

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Solution

The third proportional to 453,676.50 and 684,159.75 is: 1,031,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,676.50 : 684,159.75 = 684,159.75 : x
  2. Step 2: Convert to fraction form
    453,676.50/684,159.75 = 684,159.75/x
  3. Step 3: Cross multiply
    453,676.50x = 684,159.75 × 684,159.75
  4. Step 4: Simplify right side
    453,676.50x = 468,074,563,520.06
  5. Step 5: Solve for x
    x = 468,074,563,520.06/453,676.50
  6. Step 6: Final answer
    x = 1,031,736.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.