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Finding the Third Proportional to 538,003 and 805,971.50

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Solution

The third proportional to 538,003 and 805,971.50 is: 1,207,409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,003 : 805,971.50 = 805,971.50 : x
  2. Step 2: Convert to fraction form
    538,003/805,971.50 = 805,971.50/x
  3. Step 3: Cross multiply
    538,003x = 805,971.50 × 805,971.50
  4. Step 4: Simplify right side
    538,003x = 649,590,058,812.25
  5. Step 5: Solve for x
    x = 649,590,058,812.25/538,003
  6. Step 6: Final answer
    x = 1,207,409.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.