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Finding the Third Proportional to 677,065.50 and 1,051,754.63

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Solution

The third proportional to 677,065.50 and 1,051,754.63 is: 1,633,797.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,065.50 : 1,051,754.63 = 1,051,754.63 : x
  2. Step 2: Convert to fraction form
    677,065.50/1,051,754.63 = 1,051,754.63/x
  3. Step 3: Cross multiply
    677,065.50x = 1,051,754.63 × 1,051,754.63
  4. Step 4: Simplify right side
    677,065.50x = 1,106,187,791,208.89
  5. Step 5: Solve for x
    x = 1,106,187,791,208.89/677,065.50
  6. Step 6: Final answer
    x = 1,633,797.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.