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Finding the Third Proportional to 457,184 and 703,152

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Solution

The third proportional to 457,184 and 703,152 is: 1,081,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,184 : 703,152 = 703,152 : x
  2. Step 2: Convert to fraction form
    457,184/703,152 = 703,152/x
  3. Step 3: Cross multiply
    457,184x = 703,152 × 703,152
  4. Step 4: Simplify right side
    457,184x = 494,422,735,104
  5. Step 5: Solve for x
    x = 494,422,735,104/457,184
  6. Step 6: Final answer
    x = 1,081,452.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.