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Finding the Third Proportional to 238,572 and 519,214.50

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Solution

The third proportional to 238,572 and 519,214.50 is: 1,129,988.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,572 : 519,214.50 = 519,214.50 : x
  2. Step 2: Convert to fraction form
    238,572/519,214.50 = 519,214.50/x
  3. Step 3: Cross multiply
    238,572x = 519,214.50 × 519,214.50
  4. Step 4: Simplify right side
    238,572x = 269,583,697,010.25
  5. Step 5: Solve for x
    x = 269,583,697,010.25/238,572
  6. Step 6: Final answer
    x = 1,129,988.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.