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Finding the Third Proportional to 414,437 and 619,095

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Solution

The third proportional to 414,437 and 619,095 is: 924,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,437 : 619,095 = 619,095 : x
  2. Step 2: Convert to fraction form
    414,437/619,095 = 619,095/x
  3. Step 3: Cross multiply
    414,437x = 619,095 × 619,095
  4. Step 4: Simplify right side
    414,437x = 383,278,619,025
  5. Step 5: Solve for x
    x = 383,278,619,025/414,437
  6. Step 6: Final answer
    x = 924,817.57

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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.