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Finding the Third Proportional to 430,865,892 and 682,370,382

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Solution

The third proportional to 430,865,892 and 682,370,382 is: 1,080,682,752.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,865,892 : 682,370,382 = 682,370,382 : x
  2. Step 2: Convert to fraction form
    430,865,892/682,370,382 = 682,370,382/x
  3. Step 3: Cross multiply
    430,865,892x = 682,370,382 × 682,370,382
  4. Step 4: Simplify right side
    430,865,892x = 465,629,338,230,825,920
  5. Step 5: Solve for x
    x = 465,629,338,230,825,920/430,865,892
  6. Step 6: Final answer
    x = 1,080,682,752.75

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Why These Related Problems?

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