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Finding the Third Proportional to 305,133.75 and 459,928.13

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Solution

The third proportional to 305,133.75 and 459,928.13 is: 693,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,133.75 : 459,928.13 = 459,928.13 : x
  2. Step 2: Convert to fraction form
    305,133.75/459,928.13 = 459,928.13/x
  3. Step 3: Cross multiply
    305,133.75x = 459,928.13 × 459,928.13
  4. Step 4: Simplify right side
    305,133.75x = 211,533,880,166.02
  5. Step 5: Solve for x
    x = 211,533,880,166.02/305,133.75
  6. Step 6: Final answer
    x = 693,249.70

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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.