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Finding the Third Proportional to 218,060 and 477,592

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Solution

The third proportional to 218,060 and 477,592 is: 1,046,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,060 : 477,592 = 477,592 : x
  2. Step 2: Convert to fraction form
    218,060/477,592 = 477,592/x
  3. Step 3: Cross multiply
    218,060x = 477,592 × 477,592
  4. Step 4: Simplify right side
    218,060x = 228,094,118,464
  5. Step 5: Solve for x
    x = 228,094,118,464/218,060
  6. Step 6: Final answer
    x = 1,046,015.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.