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Finding the Third Proportional to 341,334,384.75 and 734,439,433.50

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Solution

The third proportional to 341,334,384.75 and 734,439,433.50 is: 1,580,272,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,334,384.75 : 734,439,433.50 = 734,439,433.50 : x
  2. Step 2: Convert to fraction form
    341,334,384.75/734,439,433.50 = 734,439,433.50/x
  3. Step 3: Cross multiply
    341,334,384.75x = 734,439,433.50 × 734,439,433.50
  4. Step 4: Simplify right side
    341,334,384.75x = 539,401,281,479,800,896
  5. Step 5: Solve for x
    x = 539,401,281,479,800,896/341,334,384.75
  6. Step 6: Final answer
    x = 1,580,272,324.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.