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Finding the Third Proportional to 233,805 and 507,462

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Solution

The third proportional to 233,805 and 507,462 is: 1,101,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,805 : 507,462 = 507,462 : x
  2. Step 2: Convert to fraction form
    233,805/507,462 = 507,462/x
  3. Step 3: Cross multiply
    233,805x = 507,462 × 507,462
  4. Step 4: Simplify right side
    233,805x = 257,517,681,444
  5. Step 5: Solve for x
    x = 257,517,681,444/233,805
  6. Step 6: Final answer
    x = 1,101,420.76

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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.