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Finding the Third Proportional to 305,658 and 663,829

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Solution

The third proportional to 305,658 and 663,829 is: 1,441,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,658 : 663,829 = 663,829 : x
  2. Step 2: Convert to fraction form
    305,658/663,829 = 663,829/x
  3. Step 3: Cross multiply
    305,658x = 663,829 × 663,829
  4. Step 4: Simplify right side
    305,658x = 440,668,941,241
  5. Step 5: Solve for x
    x = 440,668,941,241/305,658
  6. Step 6: Final answer
    x = 1,441,705.90

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Why These Related Problems?

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