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Finding the Third Proportional to 415,984.50 and 594,447.75

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Solution

The third proportional to 415,984.50 and 594,447.75 is: 849,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,984.50 : 594,447.75 = 594,447.75 : x
  2. Step 2: Convert to fraction form
    415,984.50/594,447.75 = 594,447.75/x
  3. Step 3: Cross multiply
    415,984.50x = 594,447.75 × 594,447.75
  4. Step 4: Simplify right side
    415,984.50x = 353,368,127,480.06
  5. Step 5: Solve for x
    x = 353,368,127,480.06/415,984.50
  6. Step 6: Final answer
    x = 849,474.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.