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Finding the Third Proportional to 306,466.03 and 420,681.09

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Solution

The third proportional to 306,466.03 and 420,681.09 is: 577,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,466.03 : 420,681.09 = 420,681.09 : x
  2. Step 2: Convert to fraction form
    306,466.03/420,681.09 = 420,681.09/x
  3. Step 3: Cross multiply
    306,466.03x = 420,681.09 × 420,681.09
  4. Step 4: Simplify right side
    306,466.03x = 176,972,582,638.70
  5. Step 5: Solve for x
    x = 176,972,582,638.70/306,466.03
  6. Step 6: Final answer
    x = 577,462.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.