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Finding the Third Proportional to 461,583 and 677,396

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Solution

The third proportional to 461,583 and 677,396 is: 994,112.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,583 : 677,396 = 677,396 : x
  2. Step 2: Convert to fraction form
    461,583/677,396 = 677,396/x
  3. Step 3: Cross multiply
    461,583x = 677,396 × 677,396
  4. Step 4: Simplify right side
    461,583x = 458,865,340,816
  5. Step 5: Solve for x
    x = 458,865,340,816/461,583
  6. Step 6: Final answer
    x = 994,112.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.