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Finding the Third Proportional to 535,200 and 826,784

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Solution

The third proportional to 535,200 and 826,784 is: 1,277,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,200 : 826,784 = 826,784 : x
  2. Step 2: Convert to fraction form
    535,200/826,784 = 826,784/x
  3. Step 3: Cross multiply
    535,200x = 826,784 × 826,784
  4. Step 4: Simplify right side
    535,200x = 683,571,782,656
  5. Step 5: Solve for x
    x = 683,571,782,656/535,200
  6. Step 6: Final answer
    x = 1,277,226.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.