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Finding the Third Proportional to 250,014 and 509,312

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Solution

The third proportional to 250,014 and 509,312 is: 1,037,536.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,014 : 509,312 = 509,312 : x
  2. Step 2: Convert to fraction form
    250,014/509,312 = 509,312/x
  3. Step 3: Cross multiply
    250,014x = 509,312 × 509,312
  4. Step 4: Simplify right side
    250,014x = 259,398,713,344
  5. Step 5: Solve for x
    x = 259,398,713,344/250,014
  6. Step 6: Final answer
    x = 1,037,536.75

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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.