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Finding the Third Proportional to 337,217 and 705,613

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Solution

The third proportional to 337,217 and 705,613 is: 1,476,466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,217 : 705,613 = 705,613 : x
  2. Step 2: Convert to fraction form
    337,217/705,613 = 705,613/x
  3. Step 3: Cross multiply
    337,217x = 705,613 × 705,613
  4. Step 4: Simplify right side
    337,217x = 497,889,705,769
  5. Step 5: Solve for x
    x = 497,889,705,769/337,217
  6. Step 6: Final answer
    x = 1,476,466.80

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.