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Finding the Third Proportional to 414,468.75 and 619,135.50

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Solution

The third proportional to 414,468.75 and 619,135.50 is: 924,867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,468.75 : 619,135.50 = 619,135.50 : x
  2. Step 2: Convert to fraction form
    414,468.75/619,135.50 = 619,135.50/x
  3. Step 3: Cross multiply
    414,468.75x = 619,135.50 × 619,135.50
  4. Step 4: Simplify right side
    414,468.75x = 383,328,767,360.25
  5. Step 5: Solve for x
    x = 383,328,767,360.25/414,468.75
  6. Step 6: Final answer
    x = 924,867.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.