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Finding the Third Proportional to 285,480,739.50 and 454,255,978.50

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Solution

The third proportional to 285,480,739.50 and 454,255,978.50 is: 722,810,562.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,480,739.50 : 454,255,978.50 = 454,255,978.50 : x
  2. Step 2: Convert to fraction form
    285,480,739.50/454,255,978.50 = 454,255,978.50/x
  3. Step 3: Cross multiply
    285,480,739.50x = 454,255,978.50 × 454,255,978.50
  4. Step 4: Simplify right side
    285,480,739.50x = 206,348,494,002,992,448
  5. Step 5: Solve for x
    x = 206,348,494,002,992,448/285,480,739.50
  6. Step 6: Final answer
    x = 722,810,562.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.