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Finding the Third Proportional to 246,628 and 538,910

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Solution

The third proportional to 246,628 and 538,910 is: 1,177,579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,628 : 538,910 = 538,910 : x
  2. Step 2: Convert to fraction form
    246,628/538,910 = 538,910/x
  3. Step 3: Cross multiply
    246,628x = 538,910 × 538,910
  4. Step 4: Simplify right side
    246,628x = 290,423,988,100
  5. Step 5: Solve for x
    x = 290,423,988,100/246,628
  6. Step 6: Final answer
    x = 1,177,579.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.