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Finding the Third Proportional to 778,115.50 and 1,178,032

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Solution

The third proportional to 778,115.50 and 1,178,032 is: 1,783,487.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,115.50 : 1,178,032 = 1,178,032 : x
  2. Step 2: Convert to fraction form
    778,115.50/1,178,032 = 1,178,032/x
  3. Step 3: Cross multiply
    778,115.50x = 1,178,032 × 1,178,032
  4. Step 4: Simplify right side
    778,115.50x = 1,387,759,393,024
  5. Step 5: Solve for x
    x = 1,387,759,393,024/778,115.50
  6. Step 6: Final answer
    x = 1,783,487.66

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