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Finding the Third Proportional to 285,724,734 and 620,158,188

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Solution

The third proportional to 285,724,734 and 620,158,188 is: 1,346,037,400.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,724,734 : 620,158,188 = 620,158,188 : x
  2. Step 2: Convert to fraction form
    285,724,734/620,158,188 = 620,158,188/x
  3. Step 3: Cross multiply
    285,724,734x = 620,158,188 × 620,158,188
  4. Step 4: Simplify right side
    285,724,734x = 384,596,178,143,443,328
  5. Step 5: Solve for x
    x = 384,596,178,143,443,328/285,724,734
  6. Step 6: Final answer
    x = 1,346,037,400.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.