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Finding the Third Proportional to 275,722 and 607,316

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Solution

The third proportional to 275,722 and 607,316 is: 1,337,697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,722 : 607,316 = 607,316 : x
  2. Step 2: Convert to fraction form
    275,722/607,316 = 607,316/x
  3. Step 3: Cross multiply
    275,722x = 607,316 × 607,316
  4. Step 4: Simplify right side
    275,722x = 368,832,723,856
  5. Step 5: Solve for x
    x = 368,832,723,856/275,722
  6. Step 6: Final answer
    x = 1,337,697.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.