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Finding the Third Proportional to 467,560 and 683,838

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Solution

The third proportional to 467,560 and 683,838 is: 1,000,159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,560 : 683,838 = 683,838 : x
  2. Step 2: Convert to fraction form
    467,560/683,838 = 683,838/x
  3. Step 3: Cross multiply
    467,560x = 683,838 × 683,838
  4. Step 4: Simplify right side
    467,560x = 467,634,410,244
  5. Step 5: Solve for x
    x = 467,634,410,244/467,560
  6. Step 6: Final answer
    x = 1,000,159.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.