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Finding the Third Proportional to 291,049.50 and 434,778

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Solution

The third proportional to 291,049.50 and 434,778 is: 649,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,049.50 : 434,778 = 434,778 : x
  2. Step 2: Convert to fraction form
    291,049.50/434,778 = 434,778/x
  3. Step 3: Cross multiply
    291,049.50x = 434,778 × 434,778
  4. Step 4: Simplify right side
    291,049.50x = 189,031,909,284
  5. Step 5: Solve for x
    x = 189,031,909,284/291,049.50
  6. Step 6: Final answer
    x = 649,483.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.