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Finding the Third Proportional to 258,513.75 and 546,834.75

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Solution

The third proportional to 258,513.75 and 546,834.75 is: 1,156,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,513.75 : 546,834.75 = 546,834.75 : x
  2. Step 2: Convert to fraction form
    258,513.75/546,834.75 = 546,834.75/x
  3. Step 3: Cross multiply
    258,513.75x = 546,834.75 × 546,834.75
  4. Step 4: Simplify right side
    258,513.75x = 299,028,243,807.56
  5. Step 5: Solve for x
    x = 299,028,243,807.56/258,513.75
  6. Step 6: Final answer
    x = 1,156,720.85

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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.