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Finding the Third Proportional to 307,608 and 413,892

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Solution

The third proportional to 307,608 and 413,892 is: 556,899.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,608 : 413,892 = 413,892 : x
  2. Step 2: Convert to fraction form
    307,608/413,892 = 413,892/x
  3. Step 3: Cross multiply
    307,608x = 413,892 × 413,892
  4. Step 4: Simplify right side
    307,608x = 171,306,587,664
  5. Step 5: Solve for x
    x = 171,306,587,664/307,608
  6. Step 6: Final answer
    x = 556,899.00

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.