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Finding the Third Proportional to 269,723.75 and 405,277.50

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Solution

The third proportional to 269,723.75 and 405,277.50 is: 608,955.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,723.75 : 405,277.50 = 405,277.50 : x
  2. Step 2: Convert to fraction form
    269,723.75/405,277.50 = 405,277.50/x
  3. Step 3: Cross multiply
    269,723.75x = 405,277.50 × 405,277.50
  4. Step 4: Simplify right side
    269,723.75x = 164,249,852,006.25
  5. Step 5: Solve for x
    x = 164,249,852,006.25/269,723.75
  6. Step 6: Final answer
    x = 608,955.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.