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Finding the Third Proportional to 385,813.13 and 520,440.19

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Solution

The third proportional to 385,813.13 and 520,440.19 is: 702,044.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,813.13 : 520,440.19 = 520,440.19 : x
  2. Step 2: Convert to fraction form
    385,813.13/520,440.19 = 520,440.19/x
  3. Step 3: Cross multiply
    385,813.13x = 520,440.19 × 520,440.19
  4. Step 4: Simplify right side
    385,813.13x = 270,857,988,765.04
  5. Step 5: Solve for x
    x = 270,857,988,765.04/385,813.13
  6. Step 6: Final answer
    x = 702,044.52

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.