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Finding the Third Proportional to 249,567 and 541,176

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Solution

The third proportional to 249,567 and 541,176 is: 1,173,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,567 : 541,176 = 541,176 : x
  2. Step 2: Convert to fraction form
    249,567/541,176 = 541,176/x
  3. Step 3: Cross multiply
    249,567x = 541,176 × 541,176
  4. Step 4: Simplify right side
    249,567x = 292,871,462,976
  5. Step 5: Solve for x
    x = 292,871,462,976/249,567
  6. Step 6: Final answer
    x = 1,173,518.39

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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.