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Finding the Third Proportional to 486,124.88 and 735,903.56

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Solution

The third proportional to 486,124.88 and 735,903.56 is: 1,114,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,124.88 : 735,903.56 = 735,903.56 : x
  2. Step 2: Convert to fraction form
    486,124.88/735,903.56 = 735,903.56/x
  3. Step 3: Cross multiply
    486,124.88x = 735,903.56 × 735,903.56
  4. Step 4: Simplify right side
    486,124.88x = 541,554,053,300.19
  5. Step 5: Solve for x
    x = 541,554,053,300.19/486,124.88
  6. Step 6: Final answer
    x = 1,114,022.51

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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.