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Finding the Third Proportional to 379,071 and 591,412.50

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Solution

The third proportional to 379,071 and 591,412.50 is: 922,699.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,071 : 591,412.50 = 591,412.50 : x
  2. Step 2: Convert to fraction form
    379,071/591,412.50 = 591,412.50/x
  3. Step 3: Cross multiply
    379,071x = 591,412.50 × 591,412.50
  4. Step 4: Simplify right side
    379,071x = 349,768,745,156.25
  5. Step 5: Solve for x
    x = 349,768,745,156.25/379,071
  6. Step 6: Final answer
    x = 922,699.82

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.