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Finding the Third Proportional to 395,916.50 and 537,901

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Solution

The third proportional to 395,916.50 and 537,901 is: 730,804.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,916.50 : 537,901 = 537,901 : x
  2. Step 2: Convert to fraction form
    395,916.50/537,901 = 537,901/x
  3. Step 3: Cross multiply
    395,916.50x = 537,901 × 537,901
  4. Step 4: Simplify right side
    395,916.50x = 289,337,485,801
  5. Step 5: Solve for x
    x = 289,337,485,801/395,916.50
  6. Step 6: Final answer
    x = 730,804.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.