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Finding the Third Proportional to 233,271 and 490,038

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Solution

The third proportional to 233,271 and 490,038 is: 1,029,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,271 : 490,038 = 490,038 : x
  2. Step 2: Convert to fraction form
    233,271/490,038 = 490,038/x
  3. Step 3: Cross multiply
    233,271x = 490,038 × 490,038
  4. Step 4: Simplify right side
    233,271x = 240,137,241,444
  5. Step 5: Solve for x
    x = 240,137,241,444/233,271
  6. Step 6: Final answer
    x = 1,029,434.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.