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Finding the Third Proportional to 520,132.25 and 816,139.71

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Solution

The third proportional to 520,132.25 and 816,139.71 is: 1,280,605.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,132.25 : 816,139.71 = 816,139.71 : x
  2. Step 2: Convert to fraction form
    520,132.25/816,139.71 = 816,139.71/x
  3. Step 3: Cross multiply
    520,132.25x = 816,139.71 × 816,139.71
  4. Step 4: Simplify right side
    520,132.25x = 666,084,018,205.07
  5. Step 5: Solve for x
    x = 666,084,018,205.07/520,132.25
  6. Step 6: Final answer
    x = 1,280,605.12

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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.