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Finding the Third Proportional to 240,315,508 and 493,370,762

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Solution

The third proportional to 240,315,508 and 493,370,762 is: 1,012,896,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,315,508 : 493,370,762 = 493,370,762 : x
  2. Step 2: Convert to fraction form
    240,315,508/493,370,762 = 493,370,762/x
  3. Step 3: Cross multiply
    240,315,508x = 493,370,762 × 493,370,762
  4. Step 4: Simplify right side
    240,315,508x = 243,414,708,796,460,640
  5. Step 5: Solve for x
    x = 243,414,708,796,460,640/240,315,508
  6. Step 6: Final answer
    x = 1,012,896,382.85

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