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Finding the Third Proportional to 224,679 and 488,724

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Solution

The third proportional to 224,679 and 488,724 is: 1,063,077.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,679 : 488,724 = 488,724 : x
  2. Step 2: Convert to fraction form
    224,679/488,724 = 488,724/x
  3. Step 3: Cross multiply
    224,679x = 488,724 × 488,724
  4. Step 4: Simplify right side
    224,679x = 238,851,148,176
  5. Step 5: Solve for x
    x = 238,851,148,176/224,679
  6. Step 6: Final answer
    x = 1,063,077.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.