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Finding the Third Proportional to 297,437.06 and 446,816.25

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Solution

The third proportional to 297,437.06 and 446,816.25 is: 671,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,437.06 : 446,816.25 = 446,816.25 : x
  2. Step 2: Convert to fraction form
    297,437.06/446,816.25 = 446,816.25/x
  3. Step 3: Cross multiply
    297,437.06x = 446,816.25 × 446,816.25
  4. Step 4: Simplify right side
    297,437.06x = 199,644,761,264.06
  5. Step 5: Solve for x
    x = 199,644,761,264.06/297,437.06
  6. Step 6: Final answer
    x = 671,216.83

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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.