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Finding the Third Proportional to 251,964 and 546,588

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Solution

The third proportional to 251,964 and 546,588 is: 1,185,718.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,964 : 546,588 = 546,588 : x
  2. Step 2: Convert to fraction form
    251,964/546,588 = 546,588/x
  3. Step 3: Cross multiply
    251,964x = 546,588 × 546,588
  4. Step 4: Simplify right side
    251,964x = 298,758,441,744
  5. Step 5: Solve for x
    x = 298,758,441,744/251,964
  6. Step 6: Final answer
    x = 1,185,718.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.