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Finding the Third Proportional to 231,430 and 481,292

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Solution

The third proportional to 231,430 and 481,292 is: 1,000,916.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,430 : 481,292 = 481,292 : x
  2. Step 2: Convert to fraction form
    231,430/481,292 = 481,292/x
  3. Step 3: Cross multiply
    231,430x = 481,292 × 481,292
  4. Step 4: Simplify right side
    231,430x = 231,641,989,264
  5. Step 5: Solve for x
    x = 231,641,989,264/231,430
  6. Step 6: Final answer
    x = 1,000,916.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.