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Finding the Third Proportional to 333,985,728 and 536,880,312

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Solution

The third proportional to 333,985,728 and 536,880,312 is: 863,032,295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,985,728 : 536,880,312 = 536,880,312 : x
  2. Step 2: Convert to fraction form
    333,985,728/536,880,312 = 536,880,312/x
  3. Step 3: Cross multiply
    333,985,728x = 536,880,312 × 536,880,312
  4. Step 4: Simplify right side
    333,985,728x = 288,240,469,413,217,344
  5. Step 5: Solve for x
    x = 288,240,469,413,217,344/333,985,728
  6. Step 6: Final answer
    x = 863,032,295.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.