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Finding the Third Proportional to 337,158 and 717,232

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Solution

The third proportional to 337,158 and 717,232 is: 1,525,758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,158 : 717,232 = 717,232 : x
  2. Step 2: Convert to fraction form
    337,158/717,232 = 717,232/x
  3. Step 3: Cross multiply
    337,158x = 717,232 × 717,232
  4. Step 4: Simplify right side
    337,158x = 514,421,741,824
  5. Step 5: Solve for x
    x = 514,421,741,824/337,158
  6. Step 6: Final answer
    x = 1,525,758.67

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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.