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Finding the Third Proportional to 414,092 and 621,577

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Solution

The third proportional to 414,092 and 621,577 is: 933,024.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,092 : 621,577 = 621,577 : x
  2. Step 2: Convert to fraction form
    414,092/621,577 = 621,577/x
  3. Step 3: Cross multiply
    414,092x = 621,577 × 621,577
  4. Step 4: Simplify right side
    414,092x = 386,357,966,929
  5. Step 5: Solve for x
    x = 386,357,966,929/414,092
  6. Step 6: Final answer
    x = 933,024.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.