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Finding the Third Proportional to 337,482 and 712,910

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Solution

The third proportional to 337,482 and 712,910 is: 1,505,978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,482 : 712,910 = 712,910 : x
  2. Step 2: Convert to fraction form
    337,482/712,910 = 712,910/x
  3. Step 3: Cross multiply
    337,482x = 712,910 × 712,910
  4. Step 4: Simplify right side
    337,482x = 508,240,668,100
  5. Step 5: Solve for x
    x = 508,240,668,100/337,482
  6. Step 6: Final answer
    x = 1,505,978.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.