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Finding the Third Proportional to 339,352.50 and 711,753

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Solution

The third proportional to 339,352.50 and 711,753 is: 1,492,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,352.50 : 711,753 = 711,753 : x
  2. Step 2: Convert to fraction form
    339,352.50/711,753 = 711,753/x
  3. Step 3: Cross multiply
    339,352.50x = 711,753 × 711,753
  4. Step 4: Simplify right side
    339,352.50x = 506,592,333,009
  5. Step 5: Solve for x
    x = 506,592,333,009/339,352.50
  6. Step 6: Final answer
    x = 1,492,820.39

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.