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Finding the Third Proportional to 598,506 and 839,823

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Solution

The third proportional to 598,506 and 839,823 is: 1,178,438.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,506 : 839,823 = 839,823 : x
  2. Step 2: Convert to fraction form
    598,506/839,823 = 839,823/x
  3. Step 3: Cross multiply
    598,506x = 839,823 × 839,823
  4. Step 4: Simplify right side
    598,506x = 705,302,671,329
  5. Step 5: Solve for x
    x = 705,302,671,329/598,506
  6. Step 6: Final answer
    x = 1,178,438.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.