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Finding the Third Proportional to 273,030 and 413,361

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Solution

The third proportional to 273,030 and 413,361 is: 625,818.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,030 : 413,361 = 413,361 : x
  2. Step 2: Convert to fraction form
    273,030/413,361 = 413,361/x
  3. Step 3: Cross multiply
    273,030x = 413,361 × 413,361
  4. Step 4: Simplify right side
    273,030x = 170,867,316,321
  5. Step 5: Solve for x
    x = 170,867,316,321/273,030
  6. Step 6: Final answer
    x = 625,818.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.