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Finding the Third Proportional to 272,006 and 592,405

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Solution

The third proportional to 272,006 and 592,405 is: 1,290,205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,006 : 592,405 = 592,405 : x
  2. Step 2: Convert to fraction form
    272,006/592,405 = 592,405/x
  3. Step 3: Cross multiply
    272,006x = 592,405 × 592,405
  4. Step 4: Simplify right side
    272,006x = 350,943,684,025
  5. Step 5: Solve for x
    x = 350,943,684,025/272,006
  6. Step 6: Final answer
    x = 1,290,205.67

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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.