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Finding the Third Proportional to 297,027 and 425,643.75

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Solution

The third proportional to 297,027 and 425,643.75 is: 609,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,027 : 425,643.75 = 425,643.75 : x
  2. Step 2: Convert to fraction form
    297,027/425,643.75 = 425,643.75/x
  3. Step 3: Cross multiply
    297,027x = 425,643.75 × 425,643.75
  4. Step 4: Simplify right side
    297,027x = 181,172,601,914.06
  5. Step 5: Solve for x
    x = 181,172,601,914.06/297,027
  6. Step 6: Final answer
    x = 609,953.31

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