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Finding the Third Proportional to 405,822 and 630,838

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Solution

The third proportional to 405,822 and 630,838 is: 980,618.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,822 : 630,838 = 630,838 : x
  2. Step 2: Convert to fraction form
    405,822/630,838 = 630,838/x
  3. Step 3: Cross multiply
    405,822x = 630,838 × 630,838
  4. Step 4: Simplify right side
    405,822x = 397,956,582,244
  5. Step 5: Solve for x
    x = 397,956,582,244/405,822
  6. Step 6: Final answer
    x = 980,618.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.