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Finding the Third Proportional to 285,949,457 and 441,864,825

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Solution

The third proportional to 285,949,457 and 441,864,825 is: 682,793,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,949,457 : 441,864,825 = 441,864,825 : x
  2. Step 2: Convert to fraction form
    285,949,457/441,864,825 = 441,864,825/x
  3. Step 3: Cross multiply
    285,949,457x = 441,864,825 × 441,864,825
  4. Step 4: Simplify right side
    285,949,457x = 195,244,523,572,280,640
  5. Step 5: Solve for x
    x = 195,244,523,572,280,640/285,949,457
  6. Step 6: Final answer
    x = 682,793,825.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.