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Finding the Third Proportional to 453,674.25 and 696,322.50

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Solution

The third proportional to 453,674.25 and 696,322.50 is: 1,068,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,674.25 : 696,322.50 = 696,322.50 : x
  2. Step 2: Convert to fraction form
    453,674.25/696,322.50 = 696,322.50/x
  3. Step 3: Cross multiply
    453,674.25x = 696,322.50 × 696,322.50
  4. Step 4: Simplify right side
    453,674.25x = 484,865,024,006.25
  5. Step 5: Solve for x
    x = 484,865,024,006.25/453,674.25
  6. Step 6: Final answer
    x = 1,068,751.48

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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.