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Finding the Third Proportional to 316,097 and 472,273

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Solution

The third proportional to 316,097 and 472,273 is: 705,611.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,097 : 472,273 = 472,273 : x
  2. Step 2: Convert to fraction form
    316,097/472,273 = 472,273/x
  3. Step 3: Cross multiply
    316,097x = 472,273 × 472,273
  4. Step 4: Simplify right side
    316,097x = 223,041,786,529
  5. Step 5: Solve for x
    x = 223,041,786,529/316,097
  6. Step 6: Final answer
    x = 705,611.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.