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Finding the Third Proportional to 272,662.50 and 593,289

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Solution

The third proportional to 272,662.50 and 593,289 is: 1,290,943.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,662.50 : 593,289 = 593,289 : x
  2. Step 2: Convert to fraction form
    272,662.50/593,289 = 593,289/x
  3. Step 3: Cross multiply
    272,662.50x = 593,289 × 593,289
  4. Step 4: Simplify right side
    272,662.50x = 351,991,837,521
  5. Step 5: Solve for x
    x = 351,991,837,521/272,662.50
  6. Step 6: Final answer
    x = 1,290,943.34

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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.