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Finding the Third Proportional to 251,364 and 538,710

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Solution

The third proportional to 251,364 and 538,710 is: 1,154,534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,364 : 538,710 = 538,710 : x
  2. Step 2: Convert to fraction form
    251,364/538,710 = 538,710/x
  3. Step 3: Cross multiply
    251,364x = 538,710 × 538,710
  4. Step 4: Simplify right side
    251,364x = 290,208,464,100
  5. Step 5: Solve for x
    x = 290,208,464,100/251,364
  6. Step 6: Final answer
    x = 1,154,534.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.