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Finding the Third Proportional to 384,373,520.50 and 574,041,511.50

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Solution

The third proportional to 384,373,520.50 and 574,041,511.50 is: 857,300,618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,373,520.50 : 574,041,511.50 = 574,041,511.50 : x
  2. Step 2: Convert to fraction form
    384,373,520.50/574,041,511.50 = 574,041,511.50/x
  3. Step 3: Cross multiply
    384,373,520.50x = 574,041,511.50 × 574,041,511.50
  4. Step 4: Simplify right side
    384,373,520.50x = 329,523,656,925,204,608
  5. Step 5: Solve for x
    x = 329,523,656,925,204,608/384,373,520.50
  6. Step 6: Final answer
    x = 857,300,618.67

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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.