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Finding the Third Proportional to 286,453.13 and 630,107.63

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Solution

The third proportional to 286,453.13 and 630,107.63 is: 1,386,040.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,453.13 : 630,107.63 = 630,107.63 : x
  2. Step 2: Convert to fraction form
    286,453.13/630,107.63 = 630,107.63/x
  3. Step 3: Cross multiply
    286,453.13x = 630,107.63 × 630,107.63
  4. Step 4: Simplify right side
    286,453.13x = 397,035,619,083.14
  5. Step 5: Solve for x
    x = 397,035,619,083.14/286,453.13
  6. Step 6: Final answer
    x = 1,386,040.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.