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Finding the Third Proportional to 272,803.50 and 592,830

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Solution

The third proportional to 272,803.50 and 592,830 is: 1,288,280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,803.50 : 592,830 = 592,830 : x
  2. Step 2: Convert to fraction form
    272,803.50/592,830 = 592,830/x
  3. Step 3: Cross multiply
    272,803.50x = 592,830 × 592,830
  4. Step 4: Simplify right side
    272,803.50x = 351,447,408,900
  5. Step 5: Solve for x
    x = 351,447,408,900/272,803.50
  6. Step 6: Final answer
    x = 1,288,280.42

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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.