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Finding the Third Proportional to 233,057 and 507,633

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Solution

The third proportional to 233,057 and 507,633 is: 1,105,700.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,057 : 507,633 = 507,633 : x
  2. Step 2: Convert to fraction form
    233,057/507,633 = 507,633/x
  3. Step 3: Cross multiply
    233,057x = 507,633 × 507,633
  4. Step 4: Simplify right side
    233,057x = 257,691,262,689
  5. Step 5: Solve for x
    x = 257,691,262,689/233,057
  6. Step 6: Final answer
    x = 1,105,700.59

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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.