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Finding the Third Proportional to 373,341,163.50 and 537,774,329.25

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Solution

The third proportional to 373,341,163.50 and 537,774,329.25 is: 774,629,902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,341,163.50 : 537,774,329.25 = 537,774,329.25 : x
  2. Step 2: Convert to fraction form
    373,341,163.50/537,774,329.25 = 537,774,329.25/x
  3. Step 3: Cross multiply
    373,341,163.50x = 537,774,329.25 × 537,774,329.25
  4. Step 4: Simplify right side
    373,341,163.50x = 289,201,229,200,287,424
  5. Step 5: Solve for x
    x = 289,201,229,200,287,424/373,341,163.50
  6. Step 6: Final answer
    x = 774,629,902.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.