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Finding the Third Proportional to 288,617 and 421,753.50

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Solution

The third proportional to 288,617 and 421,753.50 is: 616,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,617 : 421,753.50 = 421,753.50 : x
  2. Step 2: Convert to fraction form
    288,617/421,753.50 = 421,753.50/x
  3. Step 3: Cross multiply
    288,617x = 421,753.50 × 421,753.50
  4. Step 4: Simplify right side
    288,617x = 177,876,014,762.25
  5. Step 5: Solve for x
    x = 177,876,014,762.25/288,617
  6. Step 6: Final answer
    x = 616,304.70

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.