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Finding the Third Proportional to 233,059 and 507,637

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Solution

The third proportional to 233,059 and 507,637 is: 1,105,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,059 : 507,637 = 507,637 : x
  2. Step 2: Convert to fraction form
    233,059/507,637 = 507,637/x
  3. Step 3: Cross multiply
    233,059x = 507,637 × 507,637
  4. Step 4: Simplify right side
    233,059x = 257,695,323,769
  5. Step 5: Solve for x
    x = 257,695,323,769/233,059
  6. Step 6: Final answer
    x = 1,105,708.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.