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Finding the Third Proportional to 304,268 and 662,032

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Solution

The third proportional to 304,268 and 662,032 is: 1,440,461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,268 : 662,032 = 662,032 : x
  2. Step 2: Convert to fraction form
    304,268/662,032 = 662,032/x
  3. Step 3: Cross multiply
    304,268x = 662,032 × 662,032
  4. Step 4: Simplify right side
    304,268x = 438,286,369,024
  5. Step 5: Solve for x
    x = 438,286,369,024/304,268
  6. Step 6: Final answer
    x = 1,440,461.60

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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.