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Finding the Third Proportional to 304,192 and 710,720

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Solution

The third proportional to 304,192 and 710,720 is: 1,660,539.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,192 : 710,720 = 710,720 : x
  2. Step 2: Convert to fraction form
    304,192/710,720 = 710,720/x
  3. Step 3: Cross multiply
    304,192x = 710,720 × 710,720
  4. Step 4: Simplify right side
    304,192x = 505,122,918,400
  5. Step 5: Solve for x
    x = 505,122,918,400/304,192
  6. Step 6: Final answer
    x = 1,660,539.79

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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.