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Finding the Third Proportional to 228,712 and 473,044

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Solution

The third proportional to 228,712 and 473,044 is: 978,394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,712 : 473,044 = 473,044 : x
  2. Step 2: Convert to fraction form
    228,712/473,044 = 473,044/x
  3. Step 3: Cross multiply
    228,712x = 473,044 × 473,044
  4. Step 4: Simplify right side
    228,712x = 223,770,625,936
  5. Step 5: Solve for x
    x = 223,770,625,936/228,712
  6. Step 6: Final answer
    x = 978,394.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.