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Finding the Third Proportional to 233,769 and 507,390

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Solution

The third proportional to 233,769 and 507,390 is: 1,101,277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,769 : 507,390 = 507,390 : x
  2. Step 2: Convert to fraction form
    233,769/507,390 = 507,390/x
  3. Step 3: Cross multiply
    233,769x = 507,390 × 507,390
  4. Step 4: Simplify right side
    233,769x = 257,444,612,100
  5. Step 5: Solve for x
    x = 257,444,612,100/233,769
  6. Step 6: Final answer
    x = 1,101,277.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.