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Finding the Third Proportional to 554,911.50 and 830,847.75

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Solution

The third proportional to 554,911.50 and 830,847.75 is: 1,243,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,911.50 : 830,847.75 = 830,847.75 : x
  2. Step 2: Convert to fraction form
    554,911.50/830,847.75 = 830,847.75/x
  3. Step 3: Cross multiply
    554,911.50x = 830,847.75 × 830,847.75
  4. Step 4: Simplify right side
    554,911.50x = 690,307,983,680.06
  5. Step 5: Solve for x
    x = 690,307,983,680.06/554,911.50
  6. Step 6: Final answer
    x = 1,243,996.54

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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.