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Finding the Third Proportional to 287,367 and 422,698.50

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Solution

The third proportional to 287,367 and 422,698.50 is: 621,762.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,367 : 422,698.50 = 422,698.50 : x
  2. Step 2: Convert to fraction form
    287,367/422,698.50 = 422,698.50/x
  3. Step 3: Cross multiply
    287,367x = 422,698.50 × 422,698.50
  4. Step 4: Simplify right side
    287,367x = 178,674,021,902.25
  5. Step 5: Solve for x
    x = 178,674,021,902.25/287,367
  6. Step 6: Final answer
    x = 621,762.49

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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.