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Finding the Third Proportional to 288,953.25 and 383,410.13

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Solution

The third proportional to 288,953.25 and 383,410.13 is: 508,744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,953.25 : 383,410.13 = 383,410.13 : x
  2. Step 2: Convert to fraction form
    288,953.25/383,410.13 = 383,410.13/x
  3. Step 3: Cross multiply
    288,953.25x = 383,410.13 × 383,410.13
  4. Step 4: Simplify right side
    288,953.25x = 147,003,323,952.52
  5. Step 5: Solve for x
    x = 147,003,323,952.52/288,953.25
  6. Step 6: Final answer
    x = 508,744.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.