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Finding the Third Proportional to 336,530 and 711,048

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Solution

The third proportional to 336,530 and 711,048 is: 1,502,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,530 : 711,048 = 711,048 : x
  2. Step 2: Convert to fraction form
    336,530/711,048 = 711,048/x
  3. Step 3: Cross multiply
    336,530x = 711,048 × 711,048
  4. Step 4: Simplify right side
    336,530x = 505,589,258,304
  5. Step 5: Solve for x
    x = 505,589,258,304/336,530
  6. Step 6: Final answer
    x = 1,502,360.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.