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Finding the Third Proportional to 249,546 and 541,128

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Solution

The third proportional to 249,546 and 541,128 is: 1,173,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,546 : 541,128 = 541,128 : x
  2. Step 2: Convert to fraction form
    249,546/541,128 = 541,128/x
  3. Step 3: Cross multiply
    249,546x = 541,128 × 541,128
  4. Step 4: Simplify right side
    249,546x = 292,819,512,384
  5. Step 5: Solve for x
    x = 292,819,512,384/249,546
  6. Step 6: Final answer
    x = 1,173,408.96

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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.