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Finding the Third Proportional to 214,278.38 and 460,804.88

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Solution

The third proportional to 214,278.38 and 460,804.88 is: 990,959.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,278.38 : 460,804.88 = 460,804.88 : x
  2. Step 2: Convert to fraction form
    214,278.38/460,804.88 = 460,804.88/x
  3. Step 3: Cross multiply
    214,278.38x = 460,804.88 × 460,804.88
  4. Step 4: Simplify right side
    214,278.38x = 212,341,132,823.77
  5. Step 5: Solve for x
    x = 212,341,132,823.77/214,278.38
  6. Step 6: Final answer
    x = 990,959.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.