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Finding the Third Proportional to 492,925.50 and 793,604.25

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Solution

The third proportional to 492,925.50 and 793,604.25 is: 1,277,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,925.50 : 793,604.25 = 793,604.25 : x
  2. Step 2: Convert to fraction form
    492,925.50/793,604.25 = 793,604.25/x
  3. Step 3: Cross multiply
    492,925.50x = 793,604.25 × 793,604.25
  4. Step 4: Simplify right side
    492,925.50x = 629,807,705,618.06
  5. Step 5: Solve for x
    x = 629,807,705,618.06/492,925.50
  6. Step 6: Final answer
    x = 1,277,693.50

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.