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Finding the Third Proportional to 337,152 and 717,211

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Solution

The third proportional to 337,152 and 717,211 is: 1,525,696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,152 : 717,211 = 717,211 : x
  2. Step 2: Convert to fraction form
    337,152/717,211 = 717,211/x
  3. Step 3: Cross multiply
    337,152x = 717,211 × 717,211
  4. Step 4: Simplify right side
    337,152x = 514,391,618,521
  5. Step 5: Solve for x
    x = 514,391,618,521/337,152
  6. Step 6: Final answer
    x = 1,525,696.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.