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Finding the Third Proportional to 357,257,728.50 and 773,880,635.44

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Solution

The third proportional to 357,257,728.50 and 773,880,635.44 is: 1,676,356,283.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,257,728.50 : 773,880,635.44 = 773,880,635.44 : x
  2. Step 2: Convert to fraction form
    357,257,728.50/773,880,635.44 = 773,880,635.44/x
  3. Step 3: Cross multiply
    357,257,728.50x = 773,880,635.44 × 773,880,635.44
  4. Step 4: Simplify right side
    357,257,728.50x = 598,891,237,905,148,800
  5. Step 5: Solve for x
    x = 598,891,237,905,148,800/357,257,728.50
  6. Step 6: Final answer
    x = 1,676,356,283.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.