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Finding the Third Proportional to 296,778.30 and 459,828.14

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Solution

The third proportional to 296,778.30 and 459,828.14 is: 712,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,778.30 : 459,828.14 = 459,828.14 : x
  2. Step 2: Convert to fraction form
    296,778.30/459,828.14 = 459,828.14/x
  3. Step 3: Cross multiply
    296,778.30x = 459,828.14 × 459,828.14
  4. Step 4: Simplify right side
    296,778.30x = 211,441,918,910.65
  5. Step 5: Solve for x
    x = 211,441,918,910.65/296,778.30
  6. Step 6: Final answer
    x = 712,457.47

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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.