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Finding the Third Proportional to 304,242 and 710,845

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Solution

The third proportional to 304,242 and 710,845 is: 1,660,850.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,242 : 710,845 = 710,845 : x
  2. Step 2: Convert to fraction form
    304,242/710,845 = 710,845/x
  3. Step 3: Cross multiply
    304,242x = 710,845 × 710,845
  4. Step 4: Simplify right side
    304,242x = 505,300,614,025
  5. Step 5: Solve for x
    x = 505,300,614,025/304,242
  6. Step 6: Final answer
    x = 1,660,850.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.