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Finding the Third Proportional to 459,303.75 and 600,378.75

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Solution

The third proportional to 459,303.75 and 600,378.75 is: 784,784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,303.75 : 600,378.75 = 600,378.75 : x
  2. Step 2: Convert to fraction form
    459,303.75/600,378.75 = 600,378.75/x
  3. Step 3: Cross multiply
    459,303.75x = 600,378.75 × 600,378.75
  4. Step 4: Simplify right side
    459,303.75x = 360,454,643,451.56
  5. Step 5: Solve for x
    x = 360,454,643,451.56/459,303.75
  6. Step 6: Final answer
    x = 784,784.89

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.