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Finding the Third Proportional to 256,437.84 and 593,607.66

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Solution

The third proportional to 256,437.84 and 593,607.66 is: 1,374,095.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,437.84 : 593,607.66 = 593,607.66 : x
  2. Step 2: Convert to fraction form
    256,437.84/593,607.66 = 593,607.66/x
  3. Step 3: Cross multiply
    256,437.84x = 593,607.66 × 593,607.66
  4. Step 4: Simplify right side
    256,437.84x = 352,370,049,558.62
  5. Step 5: Solve for x
    x = 352,370,049,558.62/256,437.84
  6. Step 6: Final answer
    x = 1,374,095.35

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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.