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Finding the Third Proportional to 272,800.50 and 592,257

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Solution

The third proportional to 272,800.50 and 592,257 is: 1,285,805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,800.50 : 592,257 = 592,257 : x
  2. Step 2: Convert to fraction form
    272,800.50/592,257 = 592,257/x
  3. Step 3: Cross multiply
    272,800.50x = 592,257 × 592,257
  4. Step 4: Simplify right side
    272,800.50x = 350,768,354,049
  5. Step 5: Solve for x
    x = 350,768,354,049/272,800.50
  6. Step 6: Final answer
    x = 1,285,805.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.