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Finding the Third Proportional to 461,727 and 709,236

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Solution

The third proportional to 461,727 and 709,236 is: 1,089,422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,727 : 709,236 = 709,236 : x
  2. Step 2: Convert to fraction form
    461,727/709,236 = 709,236/x
  3. Step 3: Cross multiply
    461,727x = 709,236 × 709,236
  4. Step 4: Simplify right side
    461,727x = 503,015,703,696
  5. Step 5: Solve for x
    x = 503,015,703,696/461,727
  6. Step 6: Final answer
    x = 1,089,422.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.