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Finding the Third Proportional to 262,318.50 and 577,975.50

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Solution

The third proportional to 262,318.50 and 577,975.50 is: 1,273,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,318.50 : 577,975.50 = 577,975.50 : x
  2. Step 2: Convert to fraction form
    262,318.50/577,975.50 = 577,975.50/x
  3. Step 3: Cross multiply
    262,318.50x = 577,975.50 × 577,975.50
  4. Step 4: Simplify right side
    262,318.50x = 334,055,678,600.25
  5. Step 5: Solve for x
    x = 334,055,678,600.25/262,318.50
  6. Step 6: Final answer
    x = 1,273,473.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.