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Finding the Third Proportional to 296,680.50 and 459,249.75

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Solution

The third proportional to 296,680.50 and 459,249.75 is: 710,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,680.50 : 459,249.75 = 459,249.75 : x
  2. Step 2: Convert to fraction form
    296,680.50/459,249.75 = 459,249.75/x
  3. Step 3: Cross multiply
    296,680.50x = 459,249.75 × 459,249.75
  4. Step 4: Simplify right side
    296,680.50x = 210,910,332,875.06
  5. Step 5: Solve for x
    x = 210,910,332,875.06/296,680.50
  6. Step 6: Final answer
    x = 710,900.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.