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Finding the Third Proportional to 290,515.88 and 632,476.13

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Solution

The third proportional to 290,515.88 and 632,476.13 is: 1,376,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,515.88 : 632,476.13 = 632,476.13 : x
  2. Step 2: Convert to fraction form
    290,515.88/632,476.13 = 632,476.13/x
  3. Step 3: Cross multiply
    290,515.88x = 632,476.13 × 632,476.13
  4. Step 4: Simplify right side
    290,515.88x = 400,026,048,695.02
  5. Step 5: Solve for x
    x = 400,026,048,695.02/290,515.88
  6. Step 6: Final answer
    x = 1,376,950.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.