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Finding the Third Proportional to 362,613 and 509,737.50

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Solution

The third proportional to 362,613 and 509,737.50 is: 716,555.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,613 : 509,737.50 = 509,737.50 : x
  2. Step 2: Convert to fraction form
    362,613/509,737.50 = 509,737.50/x
  3. Step 3: Cross multiply
    362,613x = 509,737.50 × 509,737.50
  4. Step 4: Simplify right side
    362,613x = 259,832,318,906.25
  5. Step 5: Solve for x
    x = 259,832,318,906.25/362,613
  6. Step 6: Final answer
    x = 716,555.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.