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Finding the Third Proportional to 399,984 and 874,792.50

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Solution

The third proportional to 399,984 and 874,792.50 is: 1,913,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,984 : 874,792.50 = 874,792.50 : x
  2. Step 2: Convert to fraction form
    399,984/874,792.50 = 874,792.50/x
  3. Step 3: Cross multiply
    399,984x = 874,792.50 × 874,792.50
  4. Step 4: Simplify right side
    399,984x = 765,261,918,056.25
  5. Step 5: Solve for x
    x = 765,261,918,056.25/399,984
  6. Step 6: Final answer
    x = 1,913,231.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.