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Finding the Third Proportional to 414,466.88 and 619,133.63

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Solution

The third proportional to 414,466.88 and 619,133.63 is: 924,866.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,466.88 : 619,133.63 = 619,133.63 : x
  2. Step 2: Convert to fraction form
    414,466.88/619,133.63 = 619,133.63/x
  3. Step 3: Cross multiply
    414,466.88x = 619,133.63 × 619,133.63
  4. Step 4: Simplify right side
    414,466.88x = 383,326,445,605.64
  5. Step 5: Solve for x
    x = 383,326,445,605.64/414,466.88
  6. Step 6: Final answer
    x = 924,866.30

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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.