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Finding the Third Proportional to 249,538.22 and 541,111.64

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Solution

The third proportional to 249,538.22 and 541,111.64 is: 1,173,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,538.22 : 541,111.64 = 541,111.64 : x
  2. Step 2: Convert to fraction form
    249,538.22/541,111.64 = 541,111.64/x
  3. Step 3: Cross multiply
    249,538.22x = 541,111.64 × 541,111.64
  4. Step 4: Simplify right side
    249,538.22x = 292,801,807,619.88
  5. Step 5: Solve for x
    x = 292,801,807,619.88/249,538.22
  6. Step 6: Final answer
    x = 1,173,374.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.