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Finding the Third Proportional to 295,598.25 and 646,409.25

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Solution

The third proportional to 295,598.25 and 646,409.25 is: 1,413,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,598.25 : 646,409.25 = 646,409.25 : x
  2. Step 2: Convert to fraction form
    295,598.25/646,409.25 = 646,409.25/x
  3. Step 3: Cross multiply
    295,598.25x = 646,409.25 × 646,409.25
  4. Step 4: Simplify right side
    295,598.25x = 417,844,918,485.56
  5. Step 5: Solve for x
    x = 417,844,918,485.56/295,598.25
  6. Step 6: Final answer
    x = 1,413,556.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.