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Finding the Third Proportional to 281,275.31 and 606,530.25

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Solution

The third proportional to 281,275.31 and 606,530.25 is: 1,307,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,275.31 : 606,530.25 = 606,530.25 : x
  2. Step 2: Convert to fraction form
    281,275.31/606,530.25 = 606,530.25/x
  3. Step 3: Cross multiply
    281,275.31x = 606,530.25 × 606,530.25
  4. Step 4: Simplify right side
    281,275.31x = 367,878,944,165.06
  5. Step 5: Solve for x
    x = 367,878,944,165.06/281,275.31
  6. Step 6: Final answer
    x = 1,307,896.31

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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.