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Finding the Third Proportional to 296,083.50 and 651,216

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Solution

The third proportional to 296,083.50 and 651,216 is: 1,432,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,083.50 : 651,216 = 651,216 : x
  2. Step 2: Convert to fraction form
    296,083.50/651,216 = 651,216/x
  3. Step 3: Cross multiply
    296,083.50x = 651,216 × 651,216
  4. Step 4: Simplify right side
    296,083.50x = 424,082,278,656
  5. Step 5: Solve for x
    x = 424,082,278,656/296,083.50
  6. Step 6: Final answer
    x = 1,432,306.35

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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.