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Finding the Third Proportional to 554,982 and 830,211

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Solution

The third proportional to 554,982 and 830,211 is: 1,241,932.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,982 : 830,211 = 830,211 : x
  2. Step 2: Convert to fraction form
    554,982/830,211 = 830,211/x
  3. Step 3: Cross multiply
    554,982x = 830,211 × 830,211
  4. Step 4: Simplify right side
    554,982x = 689,250,304,521
  5. Step 5: Solve for x
    x = 689,250,304,521/554,982
  6. Step 6: Final answer
    x = 1,241,932.72

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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.