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Finding the Third Proportional to 224,070 and 483,795

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Solution

The third proportional to 224,070 and 483,795 is: 1,044,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,070 : 483,795 = 483,795 : x
  2. Step 2: Convert to fraction form
    224,070/483,795 = 483,795/x
  3. Step 3: Cross multiply
    224,070x = 483,795 × 483,795
  4. Step 4: Simplify right side
    224,070x = 234,057,602,025
  5. Step 5: Solve for x
    x = 234,057,602,025/224,070
  6. Step 6: Final answer
    x = 1,044,573.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.