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Finding the Third Proportional to 288,351 and 630,986.06

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Solution

The third proportional to 288,351 and 630,986.06 is: 1,380,759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,351 : 630,986.06 = 630,986.06 : x
  2. Step 2: Convert to fraction form
    288,351/630,986.06 = 630,986.06/x
  3. Step 3: Cross multiply
    288,351x = 630,986.06 × 630,986.06
  4. Step 4: Simplify right side
    288,351x = 398,143,411,069.25
  5. Step 5: Solve for x
    x = 398,143,411,069.25/288,351
  6. Step 6: Final answer
    x = 1,380,759.60

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.