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Finding the Third Proportional to 264,829.50 and 588,503.63

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Solution

The third proportional to 264,829.50 and 588,503.63 is: 1,307,771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,829.50 : 588,503.63 = 588,503.63 : x
  2. Step 2: Convert to fraction form
    264,829.50/588,503.63 = 588,503.63/x
  3. Step 3: Cross multiply
    264,829.50x = 588,503.63 × 588,503.63
  4. Step 4: Simplify right side
    264,829.50x = 346,336,516,638.14
  5. Step 5: Solve for x
    x = 346,336,516,638.14/264,829.50
  6. Step 6: Final answer
    x = 1,307,771.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.