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Finding the Third Proportional to 245,828 and 534,917.50

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Solution

The third proportional to 245,828 and 534,917.50 is: 1,163,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,828 : 534,917.50 = 534,917.50 : x
  2. Step 2: Convert to fraction form
    245,828/534,917.50 = 534,917.50/x
  3. Step 3: Cross multiply
    245,828x = 534,917.50 × 534,917.50
  4. Step 4: Simplify right side
    245,828x = 286,136,731,806.25
  5. Step 5: Solve for x
    x = 286,136,731,806.25/245,828
  6. Step 6: Final answer
    x = 1,163,971.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.