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Finding the Third Proportional to 303,564 and 438,562.50

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Solution

The third proportional to 303,564 and 438,562.50 is: 633,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,564 : 438,562.50 = 438,562.50 : x
  2. Step 2: Convert to fraction form
    303,564/438,562.50 = 438,562.50/x
  3. Step 3: Cross multiply
    303,564x = 438,562.50 × 438,562.50
  4. Step 4: Simplify right side
    303,564x = 192,337,066,406.25
  5. Step 5: Solve for x
    x = 192,337,066,406.25/303,564
  6. Step 6: Final answer
    x = 633,596.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.