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Finding the Third Proportional to 415,092 and 607,834

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Solution

The third proportional to 415,092 and 607,834 is: 890,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,092 : 607,834 = 607,834 : x
  2. Step 2: Convert to fraction form
    415,092/607,834 = 607,834/x
  3. Step 3: Cross multiply
    415,092x = 607,834 × 607,834
  4. Step 4: Simplify right side
    415,092x = 369,462,171,556
  5. Step 5: Solve for x
    x = 369,462,171,556/415,092
  6. Step 6: Final answer
    x = 890,072.98

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.