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Finding the Third Proportional to 430,865,880 and 682,370,364

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Solution

The third proportional to 430,865,880 and 682,370,364 is: 1,080,682,725.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,865,880 : 682,370,364 = 682,370,364 : x
  2. Step 2: Convert to fraction form
    430,865,880/682,370,364 = 682,370,364/x
  3. Step 3: Cross multiply
    430,865,880x = 682,370,364 × 682,370,364
  4. Step 4: Simplify right side
    430,865,880x = 465,629,313,665,492,480
  5. Step 5: Solve for x
    x = 465,629,313,665,492,480/430,865,880
  6. Step 6: Final answer
    x = 1,080,682,725.83

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.