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Finding the Third Proportional to 224,261 and 477,586

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Solution

The third proportional to 224,261 and 477,586 is: 1,017,066.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,261 : 477,586 = 477,586 : x
  2. Step 2: Convert to fraction form
    224,261/477,586 = 477,586/x
  3. Step 3: Cross multiply
    224,261x = 477,586 × 477,586
  4. Step 4: Simplify right side
    224,261x = 228,088,387,396
  5. Step 5: Solve for x
    x = 228,088,387,396/224,261
  6. Step 6: Final answer
    x = 1,017,066.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.