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Finding the Third Proportional to 384,306 and 547,450

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Solution

The third proportional to 384,306 and 547,450 is: 779,851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,306 : 547,450 = 547,450 : x
  2. Step 2: Convert to fraction form
    384,306/547,450 = 547,450/x
  3. Step 3: Cross multiply
    384,306x = 547,450 × 547,450
  4. Step 4: Simplify right side
    384,306x = 299,701,502,500
  5. Step 5: Solve for x
    x = 299,701,502,500/384,306
  6. Step 6: Final answer
    x = 779,851.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.