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Finding the Third Proportional to 245,043.75 and 519,828

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Solution

The third proportional to 245,043.75 and 519,828 is: 1,102,746.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,043.75 : 519,828 = 519,828 : x
  2. Step 2: Convert to fraction form
    245,043.75/519,828 = 519,828/x
  3. Step 3: Cross multiply
    245,043.75x = 519,828 × 519,828
  4. Step 4: Simplify right side
    245,043.75x = 270,221,149,584
  5. Step 5: Solve for x
    x = 270,221,149,584/245,043.75
  6. Step 6: Final answer
    x = 1,102,746.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.