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Finding the Third Proportional to 265,562 and 406,085

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Solution

The third proportional to 265,562 and 406,085 is: 620,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,562 : 406,085 = 406,085 : x
  2. Step 2: Convert to fraction form
    265,562/406,085 = 406,085/x
  3. Step 3: Cross multiply
    265,562x = 406,085 × 406,085
  4. Step 4: Simplify right side
    265,562x = 164,905,027,225
  5. Step 5: Solve for x
    x = 164,905,027,225/265,562
  6. Step 6: Final answer
    x = 620,966.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.