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Finding the Third Proportional to 304,266 and 662,028

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Solution

The third proportional to 304,266 and 662,028 is: 1,440,453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,266 : 662,028 = 662,028 : x
  2. Step 2: Convert to fraction form
    304,266/662,028 = 662,028/x
  3. Step 3: Cross multiply
    304,266x = 662,028 × 662,028
  4. Step 4: Simplify right side
    304,266x = 438,281,072,784
  5. Step 5: Solve for x
    x = 438,281,072,784/304,266
  6. Step 6: Final answer
    x = 1,440,453.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.