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Finding the Third Proportional to 334,449 and 735,318

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Solution

The third proportional to 334,449 and 735,318 is: 1,616,666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,449 : 735,318 = 735,318 : x
  2. Step 2: Convert to fraction form
    334,449/735,318 = 735,318/x
  3. Step 3: Cross multiply
    334,449x = 735,318 × 735,318
  4. Step 4: Simplify right side
    334,449x = 540,692,561,124
  5. Step 5: Solve for x
    x = 540,692,561,124/334,449
  6. Step 6: Final answer
    x = 1,616,666.70

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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.