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Finding the Third Proportional to 290,746.13 and 616,717.13

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Solution

The third proportional to 290,746.13 and 616,717.13 is: 1,308,151.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,746.13 : 616,717.13 = 616,717.13 : x
  2. Step 2: Convert to fraction form
    290,746.13/616,717.13 = 616,717.13/x
  3. Step 3: Cross multiply
    290,746.13x = 616,717.13 × 616,717.13
  4. Step 4: Simplify right side
    290,746.13x = 380,340,012,268.27
  5. Step 5: Solve for x
    x = 380,340,012,268.27/290,746.13
  6. Step 6: Final answer
    x = 1,308,151.61

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.