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Finding the Third Proportional to 323,897.50 and 711,563

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Solution

The third proportional to 323,897.50 and 711,563 is: 1,563,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,897.50 : 711,563 = 711,563 : x
  2. Step 2: Convert to fraction form
    323,897.50/711,563 = 711,563/x
  3. Step 3: Cross multiply
    323,897.50x = 711,563 × 711,563
  4. Step 4: Simplify right side
    323,897.50x = 506,321,902,969
  5. Step 5: Solve for x
    x = 506,321,902,969/323,897.50
  6. Step 6: Final answer
    x = 1,563,216.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.