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Finding the Third Proportional to 298,530.56 and 446,702.34

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Solution

The third proportional to 298,530.56 and 446,702.34 is: 668,417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,530.56 : 446,702.34 = 446,702.34 : x
  2. Step 2: Convert to fraction form
    298,530.56/446,702.34 = 446,702.34/x
  3. Step 3: Cross multiply
    298,530.56x = 446,702.34 × 446,702.34
  4. Step 4: Simplify right side
    298,530.56x = 199,542,983,911.74
  5. Step 5: Solve for x
    x = 199,542,983,911.74/298,530.56
  6. Step 6: Final answer
    x = 668,417.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.