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Finding the Third Proportional to 278,083,706.50 and 420,704,584.50

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Solution

The third proportional to 278,083,706.50 and 420,704,584.50 is: 636,471,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,083,706.50 : 420,704,584.50 = 420,704,584.50 : x
  2. Step 2: Convert to fraction form
    278,083,706.50/420,704,584.50 = 420,704,584.50/x
  3. Step 3: Cross multiply
    278,083,706.50x = 420,704,584.50 × 420,704,584.50
  4. Step 4: Simplify right side
    278,083,706.50x = 176,992,347,419,317,632
  5. Step 5: Solve for x
    x = 176,992,347,419,317,632/278,083,706.50
  6. Step 6: Final answer
    x = 636,471,477.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.