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Finding the Third Proportional to 541,758.38 and 840,020.63

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Solution

The third proportional to 541,758.38 and 840,020.63 is: 1,302,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,758.38 : 840,020.63 = 840,020.63 : x
  2. Step 2: Convert to fraction form
    541,758.38/840,020.63 = 840,020.63/x
  3. Step 3: Cross multiply
    541,758.38x = 840,020.63 × 840,020.63
  4. Step 4: Simplify right side
    541,758.38x = 705,634,650,425.39
  5. Step 5: Solve for x
    x = 705,634,650,425.39/541,758.38
  6. Step 6: Final answer
    x = 1,302,489.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.