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Finding the Third Proportional to 559,374 and 839,052

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Solution

The third proportional to 559,374 and 839,052 is: 1,258,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,374 : 839,052 = 839,052 : x
  2. Step 2: Convert to fraction form
    559,374/839,052 = 839,052/x
  3. Step 3: Cross multiply
    559,374x = 839,052 × 839,052
  4. Step 4: Simplify right side
    559,374x = 704,008,258,704
  5. Step 5: Solve for x
    x = 704,008,258,704/559,374
  6. Step 6: Final answer
    x = 1,258,564.50

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Why These Related Problems?

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