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Finding the Third Proportional to 363,304 and 545,072

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Solution

The third proportional to 363,304 and 545,072 is: 817,782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,304 : 545,072 = 545,072 : x
  2. Step 2: Convert to fraction form
    363,304/545,072 = 545,072/x
  3. Step 3: Cross multiply
    363,304x = 545,072 × 545,072
  4. Step 4: Simplify right side
    363,304x = 297,103,485,184
  5. Step 5: Solve for x
    x = 297,103,485,184/363,304
  6. Step 6: Final answer
    x = 817,782.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.