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Finding the Third Proportional to 553,209.75 and 826,746.75

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Solution

The third proportional to 553,209.75 and 826,746.75 is: 1,235,535.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,209.75 : 826,746.75 = 826,746.75 : x
  2. Step 2: Convert to fraction form
    553,209.75/826,746.75 = 826,746.75/x
  3. Step 3: Cross multiply
    553,209.75x = 826,746.75 × 826,746.75
  4. Step 4: Simplify right side
    553,209.75x = 683,510,188,635.56
  5. Step 5: Solve for x
    x = 683,510,188,635.56/553,209.75
  6. Step 6: Final answer
    x = 1,235,535.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.