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Finding the Third Proportional to 453,510 and 655,569

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Solution

The third proportional to 453,510 and 655,569 is: 947,654.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,510 : 655,569 = 655,569 : x
  2. Step 2: Convert to fraction form
    453,510/655,569 = 655,569/x
  3. Step 3: Cross multiply
    453,510x = 655,569 × 655,569
  4. Step 4: Simplify right side
    453,510x = 429,770,713,761
  5. Step 5: Solve for x
    x = 429,770,713,761/453,510
  6. Step 6: Final answer
    x = 947,654.33

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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.