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Finding the Third Proportional to 219,539 and 456,304

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Solution

The third proportional to 219,539 and 456,304 is: 948,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,539 : 456,304 = 456,304 : x
  2. Step 2: Convert to fraction form
    219,539/456,304 = 456,304/x
  3. Step 3: Cross multiply
    219,539x = 456,304 × 456,304
  4. Step 4: Simplify right side
    219,539x = 208,213,340,416
  5. Step 5: Solve for x
    x = 208,213,340,416/219,539
  6. Step 6: Final answer
    x = 948,411.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.