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Finding the Third Proportional to 297,058.50 and 447,007.50

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Solution

The third proportional to 297,058.50 and 447,007.50 is: 672,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,058.50 : 447,007.50 = 447,007.50 : x
  2. Step 2: Convert to fraction form
    297,058.50/447,007.50 = 447,007.50/x
  3. Step 3: Cross multiply
    297,058.50x = 447,007.50 × 447,007.50
  4. Step 4: Simplify right side
    297,058.50x = 199,815,705,056.25
  5. Step 5: Solve for x
    x = 199,815,705,056.25/297,058.50
  6. Step 6: Final answer
    x = 672,647.66

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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.