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Finding the Third Proportional to 513,101.25 and 816,601.50

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Solution

The third proportional to 513,101.25 and 816,601.50 is: 1,299,622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,101.25 : 816,601.50 = 816,601.50 : x
  2. Step 2: Convert to fraction form
    513,101.25/816,601.50 = 816,601.50/x
  3. Step 3: Cross multiply
    513,101.25x = 816,601.50 × 816,601.50
  4. Step 4: Simplify right side
    513,101.25x = 666,838,009,802.25
  5. Step 5: Solve for x
    x = 666,838,009,802.25/513,101.25
  6. Step 6: Final answer
    x = 1,299,622.66

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.