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Finding the Third Proportional to 599,934 and 843,767.50

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Solution

The third proportional to 599,934 and 843,767.50 is: 1,186,703.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,934 : 843,767.50 = 843,767.50 : x
  2. Step 2: Convert to fraction form
    599,934/843,767.50 = 843,767.50/x
  3. Step 3: Cross multiply
    599,934x = 843,767.50 × 843,767.50
  4. Step 4: Simplify right side
    599,934x = 711,943,594,056.25
  5. Step 5: Solve for x
    x = 711,943,594,056.25/599,934
  6. Step 6: Final answer
    x = 1,186,703.19

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