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Finding the Third Proportional to 250,712 and 551,032

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Solution

The third proportional to 250,712 and 551,032 is: 1,211,095.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,712 : 551,032 = 551,032 : x
  2. Step 2: Convert to fraction form
    250,712/551,032 = 551,032/x
  3. Step 3: Cross multiply
    250,712x = 551,032 × 551,032
  4. Step 4: Simplify right side
    250,712x = 303,636,265,024
  5. Step 5: Solve for x
    x = 303,636,265,024/250,712
  6. Step 6: Final answer
    x = 1,211,095.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.