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Finding the Third Proportional to 233,266 and 508,735

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Solution

The third proportional to 233,266 and 508,735 is: 1,109,511.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,266 : 508,735 = 508,735 : x
  2. Step 2: Convert to fraction form
    233,266/508,735 = 508,735/x
  3. Step 3: Cross multiply
    233,266x = 508,735 × 508,735
  4. Step 4: Simplify right side
    233,266x = 258,811,300,225
  5. Step 5: Solve for x
    x = 258,811,300,225/233,266
  6. Step 6: Final answer
    x = 1,109,511.46

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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.