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Finding the Third Proportional to 256,534.13 and 593,809.69

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Solution

The third proportional to 256,534.13 and 593,809.69 is: 1,374,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,534.13 : 593,809.69 = 593,809.69 : x
  2. Step 2: Convert to fraction form
    256,534.13/593,809.69 = 593,809.69/x
  3. Step 3: Cross multiply
    256,534.13x = 593,809.69 × 593,809.69
  4. Step 4: Simplify right side
    256,534.13x = 352,609,944,968.85
  5. Step 5: Solve for x
    x = 352,609,944,968.85/256,534.13
  6. Step 6: Final answer
    x = 1,374,514.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.