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Finding the Third Proportional to 339,349.50 and 711,747

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Solution

The third proportional to 339,349.50 and 711,747 is: 1,492,808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,349.50 : 711,747 = 711,747 : x
  2. Step 2: Convert to fraction form
    339,349.50/711,747 = 711,747/x
  3. Step 3: Cross multiply
    339,349.50x = 711,747 × 711,747
  4. Step 4: Simplify right side
    339,349.50x = 506,583,792,009
  5. Step 5: Solve for x
    x = 506,583,792,009/339,349.50
  6. Step 6: Final answer
    x = 1,492,808.42

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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.