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Finding the Third Proportional to 415,975.13 and 594,438.38

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Solution

The third proportional to 415,975.13 and 594,438.38 is: 849,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,975.13 : 594,438.38 = 594,438.38 : x
  2. Step 2: Convert to fraction form
    415,975.13/594,438.38 = 594,438.38/x
  3. Step 3: Cross multiply
    415,975.13x = 594,438.38 × 594,438.38
  4. Step 4: Simplify right side
    415,975.13x = 353,356,981,672.64
  5. Step 5: Solve for x
    x = 353,356,981,672.64/415,975.13
  6. Step 6: Final answer
    x = 849,466.62

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