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Finding the Third Proportional to 250,106 and 509,464

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Solution

The third proportional to 250,106 and 509,464 is: 1,037,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,106 : 509,464 = 509,464 : x
  2. Step 2: Convert to fraction form
    250,106/509,464 = 509,464/x
  3. Step 3: Cross multiply
    250,106x = 509,464 × 509,464
  4. Step 4: Simplify right side
    250,106x = 259,553,567,296
  5. Step 5: Solve for x
    x = 259,553,567,296/250,106
  6. Step 6: Final answer
    x = 1,037,774.25

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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.