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Finding the Third Proportional to 260,834 and 571,672

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Solution

The third proportional to 260,834 and 571,672 is: 1,252,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,834 : 571,672 = 571,672 : x
  2. Step 2: Convert to fraction form
    260,834/571,672 = 571,672/x
  3. Step 3: Cross multiply
    260,834x = 571,672 × 571,672
  4. Step 4: Simplify right side
    260,834x = 326,808,875,584
  5. Step 5: Solve for x
    x = 326,808,875,584/260,834
  6. Step 6: Final answer
    x = 1,252,938.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.