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Finding the Third Proportional to 286,050 and 617,082

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Solution

The third proportional to 286,050 and 617,082 is: 1,331,201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,050 : 617,082 = 617,082 : x
  2. Step 2: Convert to fraction form
    286,050/617,082 = 617,082/x
  3. Step 3: Cross multiply
    286,050x = 617,082 × 617,082
  4. Step 4: Simplify right side
    286,050x = 380,790,194,724
  5. Step 5: Solve for x
    x = 380,790,194,724/286,050
  6. Step 6: Final answer
    x = 1,331,201.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.