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Finding the Third Proportional to 318,132.56 and 681,798.94

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Solution

The third proportional to 318,132.56 and 681,798.94 is: 1,461,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,132.56 : 681,798.94 = 681,798.94 : x
  2. Step 2: Convert to fraction form
    318,132.56/681,798.94 = 681,798.94/x
  3. Step 3: Cross multiply
    318,132.56x = 681,798.94 × 681,798.94
  4. Step 4: Simplify right side
    318,132.56x = 464,849,791,176.13
  5. Step 5: Solve for x
    x = 464,849,791,176.13/318,132.56
  6. Step 6: Final answer
    x = 1,461,182.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.