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Finding the Third Proportional to 321,984 and 699,322.50

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Solution

The third proportional to 321,984 and 699,322.50 is: 1,518,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,984 : 699,322.50 = 699,322.50 : x
  2. Step 2: Convert to fraction form
    321,984/699,322.50 = 699,322.50/x
  3. Step 3: Cross multiply
    321,984x = 699,322.50 × 699,322.50
  4. Step 4: Simplify right side
    321,984x = 489,051,959,006.25
  5. Step 5: Solve for x
    x = 489,051,959,006.25/321,984
  6. Step 6: Final answer
    x = 1,518,870.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.