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Finding the Third Proportional to 297,130.50 and 447,118.50

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Solution

The third proportional to 297,130.50 and 447,118.50 is: 672,818.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,130.50 : 447,118.50 = 447,118.50 : x
  2. Step 2: Convert to fraction form
    297,130.50/447,118.50 = 447,118.50/x
  3. Step 3: Cross multiply
    297,130.50x = 447,118.50 × 447,118.50
  4. Step 4: Simplify right side
    297,130.50x = 199,914,953,042.25
  5. Step 5: Solve for x
    x = 199,914,953,042.25/297,130.50
  6. Step 6: Final answer
    x = 672,818.69

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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.