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Finding the Third Proportional to 288,369 and 619,364.25

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Solution

The third proportional to 288,369 and 619,364.25 is: 1,330,281.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,369 : 619,364.25 = 619,364.25 : x
  2. Step 2: Convert to fraction form
    288,369/619,364.25 = 619,364.25/x
  3. Step 3: Cross multiply
    288,369x = 619,364.25 × 619,364.25
  4. Step 4: Simplify right side
    288,369x = 383,612,074,178.06
  5. Step 5: Solve for x
    x = 383,612,074,178.06/288,369
  6. Step 6: Final answer
    x = 1,330,281.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.