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Finding the Third Proportional to 251,345 and 546,916

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Solution

The third proportional to 251,345 and 546,916 is: 1,190,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,345 : 546,916 = 546,916 : x
  2. Step 2: Convert to fraction form
    251,345/546,916 = 546,916/x
  3. Step 3: Cross multiply
    251,345x = 546,916 × 546,916
  4. Step 4: Simplify right side
    251,345x = 299,117,111,056
  5. Step 5: Solve for x
    x = 299,117,111,056/251,345
  6. Step 6: Final answer
    x = 1,190,065.89

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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.