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Finding the Third Proportional to 294,602 and 460,859

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Solution

The third proportional to 294,602 and 460,859 is: 720,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,602 : 460,859 = 460,859 : x
  2. Step 2: Convert to fraction form
    294,602/460,859 = 460,859/x
  3. Step 3: Cross multiply
    294,602x = 460,859 × 460,859
  4. Step 4: Simplify right side
    294,602x = 212,391,017,881
  5. Step 5: Solve for x
    x = 212,391,017,881/294,602
  6. Step 6: Final answer
    x = 720,942.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.