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Finding the Third Proportional to 336,282 and 738,084

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Solution

The third proportional to 336,282 and 738,084 is: 1,619,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,282 : 738,084 = 738,084 : x
  2. Step 2: Convert to fraction form
    336,282/738,084 = 738,084/x
  3. Step 3: Cross multiply
    336,282x = 738,084 × 738,084
  4. Step 4: Simplify right side
    336,282x = 544,767,991,056
  5. Step 5: Solve for x
    x = 544,767,991,056/336,282
  6. Step 6: Final answer
    x = 1,619,973.69

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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.