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Finding the Third Proportional to 240,315,508 and 493,370,763

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Solution

The third proportional to 240,315,508 and 493,370,763 is: 1,012,896,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,315,508 : 493,370,763 = 493,370,763 : x
  2. Step 2: Convert to fraction form
    240,315,508/493,370,763 = 493,370,763/x
  3. Step 3: Cross multiply
    240,315,508x = 493,370,763 × 493,370,763
  4. Step 4: Simplify right side
    240,315,508x = 243,414,709,783,202,176
  5. Step 5: Solve for x
    x = 243,414,709,783,202,176/240,315,508
  6. Step 6: Final answer
    x = 1,012,896,386.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.