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Finding the Third Proportional to 261,208.21 and 565,888.65

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Solution

The third proportional to 261,208.21 and 565,888.65 is: 1,225,956.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,208.21 : 565,888.65 = 565,888.65 : x
  2. Step 2: Convert to fraction form
    261,208.21/565,888.65 = 565,888.65/x
  3. Step 3: Cross multiply
    261,208.21x = 565,888.65 × 565,888.65
  4. Step 4: Simplify right side
    261,208.21x = 320,229,967,265.87
  5. Step 5: Solve for x
    x = 320,229,967,265.87/261,208.21
  6. Step 6: Final answer
    x = 1,225,956.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.