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Finding the Third Proportional to 288,951.75 and 383,407.88

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Solution

The third proportional to 288,951.75 and 383,407.88 is: 508,740.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,951.75 : 383,407.88 = 383,407.88 : x
  2. Step 2: Convert to fraction form
    288,951.75/383,407.88 = 383,407.88/x
  3. Step 3: Cross multiply
    288,951.75x = 383,407.88 × 383,407.88
  4. Step 4: Simplify right side
    288,951.75x = 147,001,598,612.02
  5. Step 5: Solve for x
    x = 147,001,598,612.02/288,951.75
  6. Step 6: Final answer
    x = 508,740.99

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.