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Finding the Third Proportional to 375,055.31 and 808,741.97

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Solution

The third proportional to 375,055.31 and 808,741.97 is: 1,743,912.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,055.31 : 808,741.97 = 808,741.97 : x
  2. Step 2: Convert to fraction form
    375,055.31/808,741.97 = 808,741.97/x
  3. Step 3: Cross multiply
    375,055.31x = 808,741.97 × 808,741.97
  4. Step 4: Simplify right side
    375,055.31x = 654,063,572,017.63
  5. Step 5: Solve for x
    x = 654,063,572,017.63/375,055.31
  6. Step 6: Final answer
    x = 1,743,912.30

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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.