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Finding the Third Proportional to 559,324 and 839,046

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Solution

The third proportional to 559,324 and 839,046 is: 1,258,659.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,324 : 839,046 = 839,046 : x
  2. Step 2: Convert to fraction form
    559,324/839,046 = 839,046/x
  3. Step 3: Cross multiply
    559,324x = 839,046 × 839,046
  4. Step 4: Simplify right side
    559,324x = 703,998,190,116
  5. Step 5: Solve for x
    x = 703,998,190,116/559,324
  6. Step 6: Final answer
    x = 1,258,659.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.