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Finding the Third Proportional to 395,834,700 and 536,985,644

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Solution

The third proportional to 395,834,700 and 536,985,644 is: 728,469,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,834,700 : 536,985,644 = 536,985,644 : x
  2. Step 2: Convert to fraction form
    395,834,700/536,985,644 = 536,985,644/x
  3. Step 3: Cross multiply
    395,834,700x = 536,985,644 × 536,985,644
  4. Step 4: Simplify right side
    395,834,700x = 288,353,581,862,094,720
  5. Step 5: Solve for x
    x = 288,353,581,862,094,720/395,834,700
  6. Step 6: Final answer
    x = 728,469,691.67

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