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Finding the Third Proportional to 541,470 and 793,735

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Solution

The third proportional to 541,470 and 793,735 is: 1,163,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,470 : 793,735 = 793,735 : x
  2. Step 2: Convert to fraction form
    541,470/793,735 = 793,735/x
  3. Step 3: Cross multiply
    541,470x = 793,735 × 793,735
  4. Step 4: Simplify right side
    541,470x = 630,015,250,225
  5. Step 5: Solve for x
    x = 630,015,250,225/541,470
  6. Step 6: Final answer
    x = 1,163,527.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.