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Finding the Third Proportional to 315,102 and 472,884.75

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Solution

The third proportional to 315,102 and 472,884.75 is: 709,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,102 : 472,884.75 = 472,884.75 : x
  2. Step 2: Convert to fraction form
    315,102/472,884.75 = 472,884.75/x
  3. Step 3: Cross multiply
    315,102x = 472,884.75 × 472,884.75
  4. Step 4: Simplify right side
    315,102x = 223,619,986,782.56
  5. Step 5: Solve for x
    x = 223,619,986,782.56/315,102
  6. Step 6: Final answer
    x = 709,674.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.