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Finding the Third Proportional to 603,642.38 and 846,058.50

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Solution

The third proportional to 603,642.38 and 846,058.50 is: 1,185,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,642.38 : 846,058.50 = 846,058.50 : x
  2. Step 2: Convert to fraction form
    603,642.38/846,058.50 = 846,058.50/x
  3. Step 3: Cross multiply
    603,642.38x = 846,058.50 × 846,058.50
  4. Step 4: Simplify right side
    603,642.38x = 715,814,985,422.25
  5. Step 5: Solve for x
    x = 715,814,985,422.25/603,642.38
  6. Step 6: Final answer
    x = 1,185,826.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.