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Finding the Third Proportional to 334,356 and 735,012

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Solution

The third proportional to 334,356 and 735,012 is: 1,615,770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,356 : 735,012 = 735,012 : x
  2. Step 2: Convert to fraction form
    334,356/735,012 = 735,012/x
  3. Step 3: Cross multiply
    334,356x = 735,012 × 735,012
  4. Step 4: Simplify right side
    334,356x = 540,242,640,144
  5. Step 5: Solve for x
    x = 540,242,640,144/334,356
  6. Step 6: Final answer
    x = 1,615,770.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.