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Finding the Third Proportional to 294,653 and 460,934

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Solution

The third proportional to 294,653 and 460,934 is: 721,052.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,653 : 460,934 = 460,934 : x
  2. Step 2: Convert to fraction form
    294,653/460,934 = 460,934/x
  3. Step 3: Cross multiply
    294,653x = 460,934 × 460,934
  4. Step 4: Simplify right side
    294,653x = 212,460,152,356
  5. Step 5: Solve for x
    x = 212,460,152,356/294,653
  6. Step 6: Final answer
    x = 721,052.06

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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.