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Finding the Third Proportional to 550,308.75 and 733,813.50

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Solution

The third proportional to 550,308.75 and 733,813.50 is: 978,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,308.75 : 733,813.50 = 733,813.50 : x
  2. Step 2: Convert to fraction form
    550,308.75/733,813.50 = 733,813.50/x
  3. Step 3: Cross multiply
    550,308.75x = 733,813.50 × 733,813.50
  4. Step 4: Simplify right side
    550,308.75x = 538,482,252,782.25
  5. Step 5: Solve for x
    x = 538,482,252,782.25/550,308.75
  6. Step 6: Final answer
    x = 978,509.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.