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Finding the Third Proportional to 233,932 and 495,769

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Solution

The third proportional to 233,932 and 495,769 is: 1,050,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,932 : 495,769 = 495,769 : x
  2. Step 2: Convert to fraction form
    233,932/495,769 = 495,769/x
  3. Step 3: Cross multiply
    233,932x = 495,769 × 495,769
  4. Step 4: Simplify right side
    233,932x = 245,786,901,361
  5. Step 5: Solve for x
    x = 245,786,901,361/233,932
  6. Step 6: Final answer
    x = 1,050,676.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.