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Finding the Third Proportional to 612,993 and 956,749.50

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Solution

The third proportional to 612,993 and 956,749.50 is: 1,493,279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,993 : 956,749.50 = 956,749.50 : x
  2. Step 2: Convert to fraction form
    612,993/956,749.50 = 956,749.50/x
  3. Step 3: Cross multiply
    612,993x = 956,749.50 × 956,749.50
  4. Step 4: Simplify right side
    612,993x = 915,369,605,750.25
  5. Step 5: Solve for x
    x = 915,369,605,750.25/612,993
  6. Step 6: Final answer
    x = 1,493,279.05

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.