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Finding the Third Proportional to 321,514 and 473,388

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Solution

The third proportional to 321,514 and 473,388 is: 697,002.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,514 : 473,388 = 473,388 : x
  2. Step 2: Convert to fraction form
    321,514/473,388 = 473,388/x
  3. Step 3: Cross multiply
    321,514x = 473,388 × 473,388
  4. Step 4: Simplify right side
    321,514x = 224,096,198,544
  5. Step 5: Solve for x
    x = 224,096,198,544/321,514
  6. Step 6: Final answer
    x = 697,002.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.