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Finding the Third Proportional to 272,828.25 and 595,215

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Solution

The third proportional to 272,828.25 and 595,215 is: 1,298,549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,828.25 : 595,215 = 595,215 : x
  2. Step 2: Convert to fraction form
    272,828.25/595,215 = 595,215/x
  3. Step 3: Cross multiply
    272,828.25x = 595,215 × 595,215
  4. Step 4: Simplify right side
    272,828.25x = 354,280,896,225
  5. Step 5: Solve for x
    x = 354,280,896,225/272,828.25
  6. Step 6: Final answer
    x = 1,298,549.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.