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Finding the Third Proportional to 486,124.50 and 735,903

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Solution

The third proportional to 486,124.50 and 735,903 is: 1,114,021.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,124.50 : 735,903 = 735,903 : x
  2. Step 2: Convert to fraction form
    486,124.50/735,903 = 735,903/x
  3. Step 3: Cross multiply
    486,124.50x = 735,903 × 735,903
  4. Step 4: Simplify right side
    486,124.50x = 541,553,225,409
  5. Step 5: Solve for x
    x = 541,553,225,409/486,124.50
  6. Step 6: Final answer
    x = 1,114,021.67

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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.