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Finding the Third Proportional to 336,368 and 735,872

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Solution

The third proportional to 336,368 and 735,872 is: 1,609,866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,368 : 735,872 = 735,872 : x
  2. Step 2: Convert to fraction form
    336,368/735,872 = 735,872/x
  3. Step 3: Cross multiply
    336,368x = 735,872 × 735,872
  4. Step 4: Simplify right side
    336,368x = 541,507,600,384
  5. Step 5: Solve for x
    x = 541,507,600,384/336,368
  6. Step 6: Final answer
    x = 1,609,866.58

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