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Finding the Third Proportional to 251,385.19 and 513,842.06

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Solution

The third proportional to 251,385.19 and 513,842.06 is: 1,050,315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,385.19 : 513,842.06 = 513,842.06 : x
  2. Step 2: Convert to fraction form
    251,385.19/513,842.06 = 513,842.06/x
  3. Step 3: Cross multiply
    251,385.19x = 513,842.06 × 513,842.06
  4. Step 4: Simplify right side
    251,385.19x = 264,033,665,194.25
  5. Step 5: Solve for x
    x = 264,033,665,194.25/251,385.19
  6. Step 6: Final answer
    x = 1,050,315.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.