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Finding the Third Proportional to 364,048 and 551,160

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Solution

The third proportional to 364,048 and 551,160 is: 834,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,048 : 551,160 = 551,160 : x
  2. Step 2: Convert to fraction form
    364,048/551,160 = 551,160/x
  3. Step 3: Cross multiply
    364,048x = 551,160 × 551,160
  4. Step 4: Simplify right side
    364,048x = 303,777,345,600
  5. Step 5: Solve for x
    x = 303,777,345,600/364,048
  6. Step 6: Final answer
    x = 834,443.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.