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Finding the Third Proportional to 430,504.88 and 896,415.61

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Solution

The third proportional to 430,504.88 and 896,415.61 is: 1,866,554.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,504.88 : 896,415.61 = 896,415.61 : x
  2. Step 2: Convert to fraction form
    430,504.88/896,415.61 = 896,415.61/x
  3. Step 3: Cross multiply
    430,504.88x = 896,415.61 × 896,415.61
  4. Step 4: Simplify right side
    430,504.88x = 803,560,944,731.15
  5. Step 5: Solve for x
    x = 803,560,944,731.15/430,504.88
  6. Step 6: Final answer
    x = 1,866,554.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.