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Finding the Third Proportional to 301,516 and 443,284

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Solution

The third proportional to 301,516 and 443,284 is: 651,709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,516 : 443,284 = 443,284 : x
  2. Step 2: Convert to fraction form
    301,516/443,284 = 443,284/x
  3. Step 3: Cross multiply
    301,516x = 443,284 × 443,284
  4. Step 4: Simplify right side
    301,516x = 196,500,704,656
  5. Step 5: Solve for x
    x = 196,500,704,656/301,516
  6. Step 6: Final answer
    x = 651,709.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.