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Finding the Third Proportional to 579,038.63 and 835,340.34

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Solution

The third proportional to 579,038.63 and 835,340.34 is: 1,205,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,038.63 : 835,340.34 = 835,340.34 : x
  2. Step 2: Convert to fraction form
    579,038.63/835,340.34 = 835,340.34/x
  3. Step 3: Cross multiply
    579,038.63x = 835,340.34 × 835,340.34
  4. Step 4: Simplify right side
    579,038.63x = 697,793,489,896.37
  5. Step 5: Solve for x
    x = 697,793,489,896.37/579,038.63
  6. Step 6: Final answer
    x = 1,205,089.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.