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Finding the Third Proportional to 272,320 and 598,394

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Solution

The third proportional to 272,320 and 598,394 is: 1,314,906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,320 : 598,394 = 598,394 : x
  2. Step 2: Convert to fraction form
    272,320/598,394 = 598,394/x
  3. Step 3: Cross multiply
    272,320x = 598,394 × 598,394
  4. Step 4: Simplify right side
    272,320x = 358,075,379,236
  5. Step 5: Solve for x
    x = 358,075,379,236/272,320
  6. Step 6: Final answer
    x = 1,314,906.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.