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Finding the Third Proportional to 336,280 and 738,080

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Solution

The third proportional to 336,280 and 738,080 is: 1,619,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,280 : 738,080 = 738,080 : x
  2. Step 2: Convert to fraction form
    336,280/738,080 = 738,080/x
  3. Step 3: Cross multiply
    336,280x = 738,080 × 738,080
  4. Step 4: Simplify right side
    336,280x = 544,762,086,400
  5. Step 5: Solve for x
    x = 544,762,086,400/336,280
  6. Step 6: Final answer
    x = 1,619,965.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.