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Finding the Third Proportional to 231,643.50 and 507,573

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Solution

The third proportional to 231,643.50 and 507,573 is: 1,112,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,643.50 : 507,573 = 507,573 : x
  2. Step 2: Convert to fraction form
    231,643.50/507,573 = 507,573/x
  3. Step 3: Cross multiply
    231,643.50x = 507,573 × 507,573
  4. Step 4: Simplify right side
    231,643.50x = 257,630,350,329
  5. Step 5: Solve for x
    x = 257,630,350,329/231,643.50
  6. Step 6: Final answer
    x = 1,112,184.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.