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Finding the Third Proportional to 285,928,208 and 624,292,172

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Solution

The third proportional to 285,928,208 and 624,292,172 is: 1,363,071,935.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,928,208 : 624,292,172 = 624,292,172 : x
  2. Step 2: Convert to fraction form
    285,928,208/624,292,172 = 624,292,172/x
  3. Step 3: Cross multiply
    285,928,208x = 624,292,172 × 624,292,172
  4. Step 4: Simplify right side
    285,928,208x = 389,740,716,020,477,568
  5. Step 5: Solve for x
    x = 389,740,716,020,477,568/285,928,208
  6. Step 6: Final answer
    x = 1,363,071,935.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.