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Finding the Third Proportional to 319,221 and 685,482

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Solution

The third proportional to 319,221 and 685,482 is: 1,471,975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,221 : 685,482 = 685,482 : x
  2. Step 2: Convert to fraction form
    319,221/685,482 = 685,482/x
  3. Step 3: Cross multiply
    319,221x = 685,482 × 685,482
  4. Step 4: Simplify right side
    319,221x = 469,885,572,324
  5. Step 5: Solve for x
    x = 469,885,572,324/319,221
  6. Step 6: Final answer
    x = 1,471,975.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.