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Finding the Third Proportional to 414,412.50 and 619,062

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Solution

The third proportional to 414,412.50 and 619,062 is: 924,773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,412.50 : 619,062 = 619,062 : x
  2. Step 2: Convert to fraction form
    414,412.50/619,062 = 619,062/x
  3. Step 3: Cross multiply
    414,412.50x = 619,062 × 619,062
  4. Step 4: Simplify right side
    414,412.50x = 383,237,759,844
  5. Step 5: Solve for x
    x = 383,237,759,844/414,412.50
  6. Step 6: Final answer
    x = 924,773.65

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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.