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Finding the Third Proportional to 251,292.50 and 546,907

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Solution

The third proportional to 251,292.50 and 546,907 is: 1,190,275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,292.50 : 546,907 = 546,907 : x
  2. Step 2: Convert to fraction form
    251,292.50/546,907 = 546,907/x
  3. Step 3: Cross multiply
    251,292.50x = 546,907 × 546,907
  4. Step 4: Simplify right side
    251,292.50x = 299,107,266,649
  5. Step 5: Solve for x
    x = 299,107,266,649/251,292.50
  6. Step 6: Final answer
    x = 1,190,275.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.