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Finding the Third Proportional to 302,016.50 and 453,000.50

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Solution

The third proportional to 302,016.50 and 453,000.50 is: 679,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,016.50 : 453,000.50 = 453,000.50 : x
  2. Step 2: Convert to fraction form
    302,016.50/453,000.50 = 453,000.50/x
  3. Step 3: Cross multiply
    302,016.50x = 453,000.50 × 453,000.50
  4. Step 4: Simplify right side
    302,016.50x = 205,209,453,000.25
  5. Step 5: Solve for x
    x = 205,209,453,000.25/302,016.50
  6. Step 6: Final answer
    x = 679,464.38

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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.