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Finding the Third Proportional to 294,594 and 460,847

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Solution

The third proportional to 294,594 and 460,847 is: 720,924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,594 : 460,847 = 460,847 : x
  2. Step 2: Convert to fraction form
    294,594/460,847 = 460,847/x
  3. Step 3: Cross multiply
    294,594x = 460,847 × 460,847
  4. Step 4: Simplify right side
    294,594x = 212,379,957,409
  5. Step 5: Solve for x
    x = 212,379,957,409/294,594
  6. Step 6: Final answer
    x = 720,924.25

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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.