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Finding the Third Proportional to 246,735 and 538,087

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Solution

The third proportional to 246,735 and 538,087 is: 1,173,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,735 : 538,087 = 538,087 : x
  2. Step 2: Convert to fraction form
    246,735/538,087 = 538,087/x
  3. Step 3: Cross multiply
    246,735x = 538,087 × 538,087
  4. Step 4: Simplify right side
    246,735x = 289,537,619,569
  5. Step 5: Solve for x
    x = 289,537,619,569/246,735
  6. Step 6: Final answer
    x = 1,173,476.08

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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.