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Finding the Third Proportional to 295,234.50 and 795,309

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Solution

The third proportional to 295,234.50 and 795,309 is: 2,142,420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,234.50 : 795,309 = 795,309 : x
  2. Step 2: Convert to fraction form
    295,234.50/795,309 = 795,309/x
  3. Step 3: Cross multiply
    295,234.50x = 795,309 × 795,309
  4. Step 4: Simplify right side
    295,234.50x = 632,516,405,481
  5. Step 5: Solve for x
    x = 632,516,405,481/295,234.50
  6. Step 6: Final answer
    x = 2,142,420.37

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.