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Finding the Third Proportional to 310,059 and 465,093

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Solution

The third proportional to 310,059 and 465,093 is: 697,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,059 : 465,093 = 465,093 : x
  2. Step 2: Convert to fraction form
    310,059/465,093 = 465,093/x
  3. Step 3: Cross multiply
    310,059x = 465,093 × 465,093
  4. Step 4: Simplify right side
    310,059x = 216,311,498,649
  5. Step 5: Solve for x
    x = 216,311,498,649/310,059
  6. Step 6: Final answer
    x = 697,646.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.