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Finding the Third Proportional to 554,982 and 830,247

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Solution

The third proportional to 554,982 and 830,247 is: 1,242,040.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,982 : 830,247 = 830,247 : x
  2. Step 2: Convert to fraction form
    554,982/830,247 = 830,247/x
  3. Step 3: Cross multiply
    554,982x = 830,247 × 830,247
  4. Step 4: Simplify right side
    554,982x = 689,310,081,009
  5. Step 5: Solve for x
    x = 689,310,081,009/554,982
  6. Step 6: Final answer
    x = 1,242,040.43

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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.