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Finding the Third Proportional to 453,546 and 655,611

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Solution

The third proportional to 453,546 and 655,611 is: 947,700.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,546 : 655,611 = 655,611 : x
  2. Step 2: Convert to fraction form
    453,546/655,611 = 655,611/x
  3. Step 3: Cross multiply
    453,546x = 655,611 × 655,611
  4. Step 4: Simplify right side
    453,546x = 429,825,783,321
  5. Step 5: Solve for x
    x = 429,825,783,321/453,546
  6. Step 6: Final answer
    x = 947,700.53

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.