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Finding the Third Proportional to 430,865,882 and 682,370,367

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Solution

The third proportional to 430,865,882 and 682,370,367 is: 1,080,682,730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,865,882 : 682,370,367 = 682,370,367 : x
  2. Step 2: Convert to fraction form
    430,865,882/682,370,367 = 682,370,367/x
  3. Step 3: Cross multiply
    430,865,882x = 682,370,367 × 682,370,367
  4. Step 4: Simplify right side
    430,865,882x = 465,629,317,759,714,688
  5. Step 5: Solve for x
    x = 465,629,317,759,714,688/430,865,882
  6. Step 6: Final answer
    x = 1,080,682,730.32

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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.