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Finding the Third Proportional to 252,907.50 and 550,435.50

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Solution

The third proportional to 252,907.50 and 550,435.50 is: 1,197,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,907.50 : 550,435.50 = 550,435.50 : x
  2. Step 2: Convert to fraction form
    252,907.50/550,435.50 = 550,435.50/x
  3. Step 3: Cross multiply
    252,907.50x = 550,435.50 × 550,435.50
  4. Step 4: Simplify right side
    252,907.50x = 302,979,239,660.25
  5. Step 5: Solve for x
    x = 302,979,239,660.25/252,907.50
  6. Step 6: Final answer
    x = 1,197,984.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.