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Finding the Third Proportional to 597,082 and 893,435

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Solution

The third proportional to 597,082 and 893,435 is: 1,336,878.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,082 : 893,435 = 893,435 : x
  2. Step 2: Convert to fraction form
    597,082/893,435 = 893,435/x
  3. Step 3: Cross multiply
    597,082x = 893,435 × 893,435
  4. Step 4: Simplify right side
    597,082x = 798,226,099,225
  5. Step 5: Solve for x
    x = 798,226,099,225/597,082
  6. Step 6: Final answer
    x = 1,336,878.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.