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Finding the Third Proportional to 525,150 and 793,935

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Solution

The third proportional to 525,150 and 793,935 is: 1,200,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,150 : 793,935 = 793,935 : x
  2. Step 2: Convert to fraction form
    525,150/793,935 = 793,935/x
  3. Step 3: Cross multiply
    525,150x = 793,935 × 793,935
  4. Step 4: Simplify right side
    525,150x = 630,332,784,225
  5. Step 5: Solve for x
    x = 630,332,784,225/525,150
  6. Step 6: Final answer
    x = 1,200,290.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.