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Finding the Third Proportional to 395,834,685.47 and 536,985,624.66

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Solution

The third proportional to 395,834,685.47 and 536,985,624.66 is: 728,469,665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,834,685.47 : 536,985,624.66 = 536,985,624.66 : x
  2. Step 2: Convert to fraction form
    395,834,685.47/536,985,624.66 = 536,985,624.66/x
  3. Step 3: Cross multiply
    395,834,685.47x = 536,985,624.66 × 536,985,624.66
  4. Step 4: Simplify right side
    395,834,685.47x = 288,353,561,087,462,976
  5. Step 5: Solve for x
    x = 288,353,561,087,462,976/395,834,685.47
  6. Step 6: Final answer
    x = 728,469,665.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.