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Finding the Third Proportional to 258,506.44 and 546,820.88

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Solution

The third proportional to 258,506.44 and 546,820.88 is: 1,156,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,506.44 : 546,820.88 = 546,820.88 : x
  2. Step 2: Convert to fraction form
    258,506.44/546,820.88 = 546,820.88/x
  3. Step 3: Cross multiply
    258,506.44x = 546,820.88 × 546,820.88
  4. Step 4: Simplify right side
    258,506.44x = 299,013,069,335.77
  5. Step 5: Solve for x
    x = 299,013,069,335.77/258,506.44
  6. Step 6: Final answer
    x = 1,156,694.87

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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.