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Finding the Third Proportional to 272,425.50 and 593,897

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Solution

The third proportional to 272,425.50 and 593,897 is: 1,294,715.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,425.50 : 593,897 = 593,897 : x
  2. Step 2: Convert to fraction form
    272,425.50/593,897 = 593,897/x
  3. Step 3: Cross multiply
    272,425.50x = 593,897 × 593,897
  4. Step 4: Simplify right side
    272,425.50x = 352,713,646,609
  5. Step 5: Solve for x
    x = 352,713,646,609/272,425.50
  6. Step 6: Final answer
    x = 1,294,715.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.