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Finding the Third Proportional to 312,210 and 446,139

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Solution

The third proportional to 312,210 and 446,139 is: 637,519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,210 : 446,139 = 446,139 : x
  2. Step 2: Convert to fraction form
    312,210/446,139 = 446,139/x
  3. Step 3: Cross multiply
    312,210x = 446,139 × 446,139
  4. Step 4: Simplify right side
    312,210x = 199,040,007,321
  5. Step 5: Solve for x
    x = 199,040,007,321/312,210
  6. Step 6: Final answer
    x = 637,519.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.