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Finding the Third Proportional to 494,369,854.50 and 673,247,359.50

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Solution

The third proportional to 494,369,854.50 and 673,247,359.50 is: 916,847,989.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,369,854.50 : 673,247,359.50 = 673,247,359.50 : x
  2. Step 2: Convert to fraction form
    494,369,854.50/673,247,359.50 = 673,247,359.50/x
  3. Step 3: Cross multiply
    494,369,854.50x = 673,247,359.50 × 673,247,359.50
  4. Step 4: Simplify right side
    494,369,854.50x = 453,262,007,073,722,240
  5. Step 5: Solve for x
    x = 453,262,007,073,722,240/494,369,854.50
  6. Step 6: Final answer
    x = 916,847,989.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.