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Finding the Third Proportional to 383,964 and 540,468

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Solution

The third proportional to 383,964 and 540,468 is: 760,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,964 : 540,468 = 540,468 : x
  2. Step 2: Convert to fraction form
    383,964/540,468 = 540,468/x
  3. Step 3: Cross multiply
    383,964x = 540,468 × 540,468
  4. Step 4: Simplify right side
    383,964x = 292,105,659,024
  5. Step 5: Solve for x
    x = 292,105,659,024/383,964
  6. Step 6: Final answer
    x = 760,763.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.