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Finding the Third Proportional to 296,280 and 643,140

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Solution

The third proportional to 296,280 and 643,140 is: 1,396,074.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,280 : 643,140 = 643,140 : x
  2. Step 2: Convert to fraction form
    296,280/643,140 = 643,140/x
  3. Step 3: Cross multiply
    296,280x = 643,140 × 643,140
  4. Step 4: Simplify right side
    296,280x = 413,629,059,600
  5. Step 5: Solve for x
    x = 413,629,059,600/296,280
  6. Step 6: Final answer
    x = 1,396,074.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.