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Finding the Third Proportional to 231,102 and 484,560

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Solution

The third proportional to 231,102 and 484,560 is: 1,015,994.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,102 : 484,560 = 484,560 : x
  2. Step 2: Convert to fraction form
    231,102/484,560 = 484,560/x
  3. Step 3: Cross multiply
    231,102x = 484,560 × 484,560
  4. Step 4: Simplify right side
    231,102x = 234,798,393,600
  5. Step 5: Solve for x
    x = 234,798,393,600/231,102
  6. Step 6: Final answer
    x = 1,015,994.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.