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Finding the Third Proportional to 296,109 and 651,253.50

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Solution

The third proportional to 296,109 and 651,253.50 is: 1,432,347.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,109 : 651,253.50 = 651,253.50 : x
  2. Step 2: Convert to fraction form
    296,109/651,253.50 = 651,253.50/x
  3. Step 3: Cross multiply
    296,109x = 651,253.50 × 651,253.50
  4. Step 4: Simplify right side
    296,109x = 424,131,121,262.25
  5. Step 5: Solve for x
    x = 424,131,121,262.25/296,109
  6. Step 6: Final answer
    x = 1,432,347.96

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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.