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Finding the Third Proportional to 285,580 and 401,152

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Solution

The third proportional to 285,580 and 401,152 is: 563,495.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,580 : 401,152 = 401,152 : x
  2. Step 2: Convert to fraction form
    285,580/401,152 = 401,152/x
  3. Step 3: Cross multiply
    285,580x = 401,152 × 401,152
  4. Step 4: Simplify right side
    285,580x = 160,922,927,104
  5. Step 5: Solve for x
    x = 160,922,927,104/285,580
  6. Step 6: Final answer
    x = 563,495.09

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.