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Finding the Third Proportional to 334,718 and 735,858

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Solution

The third proportional to 334,718 and 735,858 is: 1,617,740.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,718 : 735,858 = 735,858 : x
  2. Step 2: Convert to fraction form
    334,718/735,858 = 735,858/x
  3. Step 3: Cross multiply
    334,718x = 735,858 × 735,858
  4. Step 4: Simplify right side
    334,718x = 541,486,996,164
  5. Step 5: Solve for x
    x = 541,486,996,164/334,718
  6. Step 6: Final answer
    x = 1,617,740.89

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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.