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Finding the Third Proportional to 520,438.50 and 816,601.50

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Solution

The third proportional to 520,438.50 and 816,601.50 is: 1,281,300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,438.50 : 816,601.50 = 816,601.50 : x
  2. Step 2: Convert to fraction form
    520,438.50/816,601.50 = 816,601.50/x
  3. Step 3: Cross multiply
    520,438.50x = 816,601.50 × 816,601.50
  4. Step 4: Simplify right side
    520,438.50x = 666,838,009,802.25
  5. Step 5: Solve for x
    x = 666,838,009,802.25/520,438.50
  6. Step 6: Final answer
    x = 1,281,300.31

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.