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Finding the Third Proportional to 484,094 and 710,589

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Solution

The third proportional to 484,094 and 710,589 is: 1,043,055.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,094 : 710,589 = 710,589 : x
  2. Step 2: Convert to fraction form
    484,094/710,589 = 710,589/x
  3. Step 3: Cross multiply
    484,094x = 710,589 × 710,589
  4. Step 4: Simplify right side
    484,094x = 504,936,726,921
  5. Step 5: Solve for x
    x = 504,936,726,921/484,094
  6. Step 6: Final answer
    x = 1,043,055.12

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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.