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Finding the Third Proportional to 256,860.75 and 406,707

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Solution

The third proportional to 256,860.75 and 406,707 is: 643,969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,860.75 : 406,707 = 406,707 : x
  2. Step 2: Convert to fraction form
    256,860.75/406,707 = 406,707/x
  3. Step 3: Cross multiply
    256,860.75x = 406,707 × 406,707
  4. Step 4: Simplify right side
    256,860.75x = 165,410,583,849
  5. Step 5: Solve for x
    x = 165,410,583,849/256,860.75
  6. Step 6: Final answer
    x = 643,969.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.