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Finding the Third Proportional to 415,438 and 594,083

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Solution

The third proportional to 415,438 and 594,083 is: 849,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,438 : 594,083 = 594,083 : x
  2. Step 2: Convert to fraction form
    415,438/594,083 = 594,083/x
  3. Step 3: Cross multiply
    415,438x = 594,083 × 594,083
  4. Step 4: Simplify right side
    415,438x = 352,934,610,889
  5. Step 5: Solve for x
    x = 352,934,610,889/415,438
  6. Step 6: Final answer
    x = 849,548.21

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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.