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Finding the Third Proportional to 224,580 and 486,544

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Solution

The third proportional to 224,580 and 486,544 is: 1,054,079.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,580 : 486,544 = 486,544 : x
  2. Step 2: Convert to fraction form
    224,580/486,544 = 486,544/x
  3. Step 3: Cross multiply
    224,580x = 486,544 × 486,544
  4. Step 4: Simplify right side
    224,580x = 236,725,063,936
  5. Step 5: Solve for x
    x = 236,725,063,936/224,580
  6. Step 6: Final answer
    x = 1,054,079.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.