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Finding the Third Proportional to 258,276 and 566,394

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Solution

The third proportional to 258,276 and 566,394 is: 1,242,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,276 : 566,394 = 566,394 : x
  2. Step 2: Convert to fraction form
    258,276/566,394 = 566,394/x
  3. Step 3: Cross multiply
    258,276x = 566,394 × 566,394
  4. Step 4: Simplify right side
    258,276x = 320,802,163,236
  5. Step 5: Solve for x
    x = 320,802,163,236/258,276
  6. Step 6: Final answer
    x = 1,242,090.49

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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.