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Finding the Third Proportional to 515,737.13 and 816,466.50

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Solution

The third proportional to 515,737.13 and 816,466.50 is: 1,292,552.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,737.13 : 816,466.50 = 816,466.50 : x
  2. Step 2: Convert to fraction form
    515,737.13/816,466.50 = 816,466.50/x
  3. Step 3: Cross multiply
    515,737.13x = 816,466.50 × 816,466.50
  4. Step 4: Simplify right side
    515,737.13x = 666,617,545,622.25
  5. Step 5: Solve for x
    x = 666,617,545,622.25/515,737.13
  6. Step 6: Final answer
    x = 1,292,552.96

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.