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Finding the Third Proportional to 309,675.75 and 458,757

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Solution

The third proportional to 309,675.75 and 458,757 is: 679,607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,675.75 : 458,757 = 458,757 : x
  2. Step 2: Convert to fraction form
    309,675.75/458,757 = 458,757/x
  3. Step 3: Cross multiply
    309,675.75x = 458,757 × 458,757
  4. Step 4: Simplify right side
    309,675.75x = 210,457,985,049
  5. Step 5: Solve for x
    x = 210,457,985,049/309,675.75
  6. Step 6: Final answer
    x = 679,607.57

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.