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Finding the Third Proportional to 285,724,324 and 620,157,496

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Solution

The third proportional to 285,724,324 and 620,157,496 is: 1,346,036,327.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,724,324 : 620,157,496 = 620,157,496 : x
  2. Step 2: Convert to fraction form
    285,724,324/620,157,496 = 620,157,496/x
  3. Step 3: Cross multiply
    285,724,324x = 620,157,496 × 620,157,496
  4. Step 4: Simplify right side
    285,724,324x = 384,595,319,844,990,016
  5. Step 5: Solve for x
    x = 384,595,319,844,990,016/285,724,324
  6. Step 6: Final answer
    x = 1,346,036,327.82

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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.