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Finding the Third Proportional to 272,500 and 597,487

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Solution

The third proportional to 272,500 and 597,487 is: 1,310,057.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,500 : 597,487 = 597,487 : x
  2. Step 2: Convert to fraction form
    272,500/597,487 = 597,487/x
  3. Step 3: Cross multiply
    272,500x = 597,487 × 597,487
  4. Step 4: Simplify right side
    272,500x = 356,990,715,169
  5. Step 5: Solve for x
    x = 356,990,715,169/272,500
  6. Step 6: Final answer
    x = 1,310,057.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.