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Finding the Third Proportional to 290,106.56 and 630,131.06

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Solution

The third proportional to 290,106.56 and 630,131.06 is: 1,368,687.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,106.56 : 630,131.06 = 630,131.06 : x
  2. Step 2: Convert to fraction form
    290,106.56/630,131.06 = 630,131.06/x
  3. Step 3: Cross multiply
    290,106.56x = 630,131.06 × 630,131.06
  4. Step 4: Simplify right side
    290,106.56x = 397,065,155,927.38
  5. Step 5: Solve for x
    x = 397,065,155,927.38/290,106.56
  6. Step 6: Final answer
    x = 1,368,687.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.