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Finding the Third Proportional to 453,640.50 and 705,575.25

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Solution

The third proportional to 453,640.50 and 705,575.25 is: 1,097,425.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,640.50 : 705,575.25 = 705,575.25 : x
  2. Step 2: Convert to fraction form
    453,640.50/705,575.25 = 705,575.25/x
  3. Step 3: Cross multiply
    453,640.50x = 705,575.25 × 705,575.25
  4. Step 4: Simplify right side
    453,640.50x = 497,836,433,412.56
  5. Step 5: Solve for x
    x = 497,836,433,412.56/453,640.50
  6. Step 6: Final answer
    x = 1,097,425.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.