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Finding the Third Proportional to 566,454.94 and 864,474.19

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Solution

The third proportional to 566,454.94 and 864,474.19 is: 1,319,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,454.94 : 864,474.19 = 864,474.19 : x
  2. Step 2: Convert to fraction form
    566,454.94/864,474.19 = 864,474.19/x
  3. Step 3: Cross multiply
    566,454.94x = 864,474.19 × 864,474.19
  4. Step 4: Simplify right side
    566,454.94x = 747,315,620,853.79
  5. Step 5: Solve for x
    x = 747,315,620,853.79/566,454.94
  6. Step 6: Final answer
    x = 1,319,285.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.