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Finding the Third Proportional to 294,563 and 460,799

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Solution

The third proportional to 294,563 and 460,799 is: 720,849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,563 : 460,799 = 460,799 : x
  2. Step 2: Convert to fraction form
    294,563/460,799 = 460,799/x
  3. Step 3: Cross multiply
    294,563x = 460,799 × 460,799
  4. Step 4: Simplify right side
    294,563x = 212,335,718,401
  5. Step 5: Solve for x
    x = 212,335,718,401/294,563
  6. Step 6: Final answer
    x = 720,849.93

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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.