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Finding the Third Proportional to 272,308.50 and 591,111

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Solution

The third proportional to 272,308.50 and 591,111 is: 1,283,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,308.50 : 591,111 = 591,111 : x
  2. Step 2: Convert to fraction form
    272,308.50/591,111 = 591,111/x
  3. Step 3: Cross multiply
    272,308.50x = 591,111 × 591,111
  4. Step 4: Simplify right side
    272,308.50x = 349,412,214,321
  5. Step 5: Solve for x
    x = 349,412,214,321/272,308.50
  6. Step 6: Final answer
    x = 1,283,148.39

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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.