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Finding the Third Proportional to 413,300 and 622,986

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Solution

The third proportional to 413,300 and 622,986 is: 939,055.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,300 : 622,986 = 622,986 : x
  2. Step 2: Convert to fraction form
    413,300/622,986 = 622,986/x
  3. Step 3: Cross multiply
    413,300x = 622,986 × 622,986
  4. Step 4: Simplify right side
    413,300x = 388,111,556,196
  5. Step 5: Solve for x
    x = 388,111,556,196/413,300
  6. Step 6: Final answer
    x = 939,055.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.