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Finding the Third Proportional to 197,290 and 431,482

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Solution

The third proportional to 197,290 and 431,482 is: 943,670.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,290 : 431,482 = 431,482 : x
  2. Step 2: Convert to fraction form
    197,290/431,482 = 431,482/x
  3. Step 3: Cross multiply
    197,290x = 431,482 × 431,482
  4. Step 4: Simplify right side
    197,290x = 186,176,716,324
  5. Step 5: Solve for x
    x = 186,176,716,324/197,290
  6. Step 6: Final answer
    x = 943,670.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.