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Finding the Third Proportional to 286,082 and 620,356

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Solution

The third proportional to 286,082 and 620,356 is: 1,345,214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,082 : 620,356 = 620,356 : x
  2. Step 2: Convert to fraction form
    286,082/620,356 = 620,356/x
  3. Step 3: Cross multiply
    286,082x = 620,356 × 620,356
  4. Step 4: Simplify right side
    286,082x = 384,841,566,736
  5. Step 5: Solve for x
    x = 384,841,566,736/286,082
  6. Step 6: Final answer
    x = 1,345,214.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.