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Finding the Third Proportional to 287,233 and 454,609

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Solution

The third proportional to 287,233 and 454,609 is: 719,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,233 : 454,609 = 454,609 : x
  2. Step 2: Convert to fraction form
    287,233/454,609 = 454,609/x
  3. Step 3: Cross multiply
    287,233x = 454,609 × 454,609
  4. Step 4: Simplify right side
    287,233x = 206,669,342,881
  5. Step 5: Solve for x
    x = 206,669,342,881/287,233
  6. Step 6: Final answer
    x = 719,518.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.