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Finding the Third Proportional to 302,469 and 446,803.50

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Solution

The third proportional to 302,469 and 446,803.50 is: 660,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,469 : 446,803.50 = 446,803.50 : x
  2. Step 2: Convert to fraction form
    302,469/446,803.50 = 446,803.50/x
  3. Step 3: Cross multiply
    302,469x = 446,803.50 × 446,803.50
  4. Step 4: Simplify right side
    302,469x = 199,633,367,612.25
  5. Step 5: Solve for x
    x = 199,633,367,612.25/302,469
  6. Step 6: Final answer
    x = 660,012.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.