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Finding the Third Proportional to 259,688 and 405,935

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Solution

The third proportional to 259,688 and 405,935 is: 634,543.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,688 : 405,935 = 405,935 : x
  2. Step 2: Convert to fraction form
    259,688/405,935 = 405,935/x
  3. Step 3: Cross multiply
    259,688x = 405,935 × 405,935
  4. Step 4: Simplify right side
    259,688x = 164,783,224,225
  5. Step 5: Solve for x
    x = 164,783,224,225/259,688
  6. Step 6: Final answer
    x = 634,543.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.