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Finding the Third Proportional to 397,371 and 849,276

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Solution

The third proportional to 397,371 and 849,276 is: 1,815,104.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,371 : 849,276 = 849,276 : x
  2. Step 2: Convert to fraction form
    397,371/849,276 = 849,276/x
  3. Step 3: Cross multiply
    397,371x = 849,276 × 849,276
  4. Step 4: Simplify right side
    397,371x = 721,269,724,176
  5. Step 5: Solve for x
    x = 721,269,724,176/397,371
  6. Step 6: Final answer
    x = 1,815,104.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.