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Finding the Third Proportional to 304,684 and 668,443

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Solution

The third proportional to 304,684 and 668,443 is: 1,466,490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,684 : 668,443 = 668,443 : x
  2. Step 2: Convert to fraction form
    304,684/668,443 = 668,443/x
  3. Step 3: Cross multiply
    304,684x = 668,443 × 668,443
  4. Step 4: Simplify right side
    304,684x = 446,816,044,249
  5. Step 5: Solve for x
    x = 446,816,044,249/304,684
  6. Step 6: Final answer
    x = 1,466,490.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.