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Finding the Third Proportional to 302,001 and 467,014.50

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Solution

The third proportional to 302,001 and 467,014.50 is: 722,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,001 : 467,014.50 = 467,014.50 : x
  2. Step 2: Convert to fraction form
    302,001/467,014.50 = 467,014.50/x
  3. Step 3: Cross multiply
    302,001x = 467,014.50 × 467,014.50
  4. Step 4: Simplify right side
    302,001x = 218,102,543,210.25
  5. Step 5: Solve for x
    x = 218,102,543,210.25/302,001
  6. Step 6: Final answer
    x = 722,191.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.