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Finding the Third Proportional to 315,273.52 and 476,640.70

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Solution

The third proportional to 315,273.52 and 476,640.70 is: 720,600.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,273.52 : 476,640.70 = 476,640.70 : x
  2. Step 2: Convert to fraction form
    315,273.52/476,640.70 = 476,640.70/x
  3. Step 3: Cross multiply
    315,273.52x = 476,640.70 × 476,640.70
  4. Step 4: Simplify right side
    315,273.52x = 227,186,359,875.49
  5. Step 5: Solve for x
    x = 227,186,359,875.49/315,273.52
  6. Step 6: Final answer
    x = 720,600.84

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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.