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Finding the Third Proportional to 224,076 and 354,984

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Solution

The third proportional to 224,076 and 354,984 is: 562,370.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,076 : 354,984 = 354,984 : x
  2. Step 2: Convert to fraction form
    224,076/354,984 = 354,984/x
  3. Step 3: Cross multiply
    224,076x = 354,984 × 354,984
  4. Step 4: Simplify right side
    224,076x = 126,013,640,256
  5. Step 5: Solve for x
    x = 126,013,640,256/224,076
  6. Step 6: Final answer
    x = 562,370.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.