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Finding the Third Proportional to 608,872 and 978,353

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Solution

The third proportional to 608,872 and 978,353 is: 1,572,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,872 : 978,353 = 978,353 : x
  2. Step 2: Convert to fraction form
    608,872/978,353 = 978,353/x
  3. Step 3: Cross multiply
    608,872x = 978,353 × 978,353
  4. Step 4: Simplify right side
    608,872x = 957,174,592,609
  5. Step 5: Solve for x
    x = 957,174,592,609/608,872
  6. Step 6: Final answer
    x = 1,572,045.67

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.