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Finding the Third Proportional to 258,315.75 and 547,360.88

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Solution

The third proportional to 258,315.75 and 547,360.88 is: 1,159,836.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,315.75 : 547,360.88 = 547,360.88 : x
  2. Step 2: Convert to fraction form
    258,315.75/547,360.88 = 547,360.88/x
  3. Step 3: Cross multiply
    258,315.75x = 547,360.88 × 547,360.88
  4. Step 4: Simplify right side
    258,315.75x = 299,603,927,480.77
  5. Step 5: Solve for x
    x = 299,603,927,480.77/258,315.75
  6. Step 6: Final answer
    x = 1,159,836.08

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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.