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Finding the Third Proportional to 298,765.13 and 457,237.41

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Solution

The third proportional to 298,765.13 and 457,237.41 is: 699,767.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,765.13 : 457,237.41 = 457,237.41 : x
  2. Step 2: Convert to fraction form
    298,765.13/457,237.41 = 457,237.41/x
  3. Step 3: Cross multiply
    298,765.13x = 457,237.41 × 457,237.41
  4. Step 4: Simplify right side
    298,765.13x = 209,066,045,674.23
  5. Step 5: Solve for x
    x = 209,066,045,674.23/298,765.13
  6. Step 6: Final answer
    x = 699,767.24

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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.