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Finding the Third Proportional to 304,296.75 and 656,707.50

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Solution

The third proportional to 304,296.75 and 656,707.50 is: 1,417,250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,296.75 : 656,707.50 = 656,707.50 : x
  2. Step 2: Convert to fraction form
    304,296.75/656,707.50 = 656,707.50/x
  3. Step 3: Cross multiply
    304,296.75x = 656,707.50 × 656,707.50
  4. Step 4: Simplify right side
    304,296.75x = 431,264,740,556.25
  5. Step 5: Solve for x
    x = 431,264,740,556.25/304,296.75
  6. Step 6: Final answer
    x = 1,417,250.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.