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Finding the Third Proportional to 279,582,779 and 416,949,658

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Solution

The third proportional to 279,582,779 and 416,949,658 is: 621,808,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,582,779 : 416,949,658 = 416,949,658 : x
  2. Step 2: Convert to fraction form
    279,582,779/416,949,658 = 416,949,658/x
  3. Step 3: Cross multiply
    279,582,779x = 416,949,658 × 416,949,658
  4. Step 4: Simplify right side
    279,582,779x = 173,847,017,306,316,960
  5. Step 5: Solve for x
    x = 173,847,017,306,316,960/279,582,779
  6. Step 6: Final answer
    x = 621,808,746.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.