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Finding the Third Proportional to 622,262.81 and 977,763.75

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Solution

The third proportional to 622,262.81 and 977,763.75 is: 1,536,363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,262.81 : 977,763.75 = 977,763.75 : x
  2. Step 2: Convert to fraction form
    622,262.81/977,763.75 = 977,763.75/x
  3. Step 3: Cross multiply
    622,262.81x = 977,763.75 × 977,763.75
  4. Step 4: Simplify right side
    622,262.81x = 956,021,950,814.06
  5. Step 5: Solve for x
    x = 956,021,950,814.06/622,262.81
  6. Step 6: Final answer
    x = 1,536,363.63

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.