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Finding the Third Proportional to 453,350 and 613,503

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Solution

The third proportional to 453,350 and 613,503 is: 830,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,350 : 613,503 = 613,503 : x
  2. Step 2: Convert to fraction form
    453,350/613,503 = 613,503/x
  3. Step 3: Cross multiply
    453,350x = 613,503 × 613,503
  4. Step 4: Simplify right side
    453,350x = 376,385,931,009
  5. Step 5: Solve for x
    x = 376,385,931,009/453,350
  6. Step 6: Final answer
    x = 830,232.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.