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Finding the Third Proportional to 297,956 and 425,633.50

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Solution

The third proportional to 297,956 and 425,633.50 is: 608,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,956 : 425,633.50 = 425,633.50 : x
  2. Step 2: Convert to fraction form
    297,956/425,633.50 = 425,633.50/x
  3. Step 3: Cross multiply
    297,956x = 425,633.50 × 425,633.50
  4. Step 4: Simplify right side
    297,956x = 181,163,876,322.25
  5. Step 5: Solve for x
    x = 181,163,876,322.25/297,956
  6. Step 6: Final answer
    x = 608,022.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.