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Finding the Third Proportional to 315,316 and 476,250

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Solution

The third proportional to 315,316 and 476,250 is: 719,323.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,316 : 476,250 = 476,250 : x
  2. Step 2: Convert to fraction form
    315,316/476,250 = 476,250/x
  3. Step 3: Cross multiply
    315,316x = 476,250 × 476,250
  4. Step 4: Simplify right side
    315,316x = 226,814,062,500
  5. Step 5: Solve for x
    x = 226,814,062,500/315,316
  6. Step 6: Final answer
    x = 719,323.04

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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.