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Finding the Third Proportional to 264,486.94 and 385,642.69

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Solution

The third proportional to 264,486.94 and 385,642.69 is: 562,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,486.94 : 385,642.69 = 385,642.69 : x
  2. Step 2: Convert to fraction form
    264,486.94/385,642.69 = 385,642.69/x
  3. Step 3: Cross multiply
    264,486.94x = 385,642.69 × 385,642.69
  4. Step 4: Simplify right side
    264,486.94x = 148,720,282,422.22
  5. Step 5: Solve for x
    x = 148,720,282,422.22/264,486.94
  6. Step 6: Final answer
    x = 562,297.27

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.