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Finding the Third Proportional to 369,696 and 756,910.50

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Solution

The third proportional to 369,696 and 756,910.50 is: 1,549,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,696 : 756,910.50 = 756,910.50 : x
  2. Step 2: Convert to fraction form
    369,696/756,910.50 = 756,910.50/x
  3. Step 3: Cross multiply
    369,696x = 756,910.50 × 756,910.50
  4. Step 4: Simplify right side
    369,696x = 572,913,505,010.25
  5. Step 5: Solve for x
    x = 572,913,505,010.25/369,696
  6. Step 6: Final answer
    x = 1,549,688.14

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.