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Finding the Third Proportional to 249,558 and 541,152

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Solution

The third proportional to 249,558 and 541,152 is: 1,173,456.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,558 : 541,152 = 541,152 : x
  2. Step 2: Convert to fraction form
    249,558/541,152 = 541,152/x
  3. Step 3: Cross multiply
    249,558x = 541,152 × 541,152
  4. Step 4: Simplify right side
    249,558x = 292,845,487,104
  5. Step 5: Solve for x
    x = 292,845,487,104/249,558
  6. Step 6: Final answer
    x = 1,173,456.62

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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.