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Finding the Third Proportional to 493,132 and 630,132

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Solution

The third proportional to 493,132 and 630,132 is: 805,192.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,132 : 630,132 = 630,132 : x
  2. Step 2: Convert to fraction form
    493,132/630,132 = 630,132/x
  3. Step 3: Cross multiply
    493,132x = 630,132 × 630,132
  4. Step 4: Simplify right side
    493,132x = 397,066,337,424
  5. Step 5: Solve for x
    x = 397,066,337,424/493,132
  6. Step 6: Final answer
    x = 805,192.80

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.