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Finding the Third Proportional to 405,675 and 630,624

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Solution

The third proportional to 405,675 and 630,624 is: 980,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,675 : 630,624 = 630,624 : x
  2. Step 2: Convert to fraction form
    405,675/630,624 = 630,624/x
  3. Step 3: Cross multiply
    405,675x = 630,624 × 630,624
  4. Step 4: Simplify right side
    405,675x = 397,686,629,376
  5. Step 5: Solve for x
    x = 397,686,629,376/405,675
  6. Step 6: Final answer
    x = 980,308.45

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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.