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Finding the Third Proportional to 353,043.56 and 771,692.06

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Solution

The third proportional to 353,043.56 and 771,692.06 is: 1,686,785.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,043.56 : 771,692.06 = 771,692.06 : x
  2. Step 2: Convert to fraction form
    353,043.56/771,692.06 = 771,692.06/x
  3. Step 3: Cross multiply
    353,043.56x = 771,692.06 × 771,692.06
  4. Step 4: Simplify right side
    353,043.56x = 595,508,639,325.50
  5. Step 5: Solve for x
    x = 595,508,639,325.50/353,043.56
  6. Step 6: Final answer
    x = 1,686,785.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.