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Finding the Third Proportional to 261,946.41 and 565,212.94

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Solution

The third proportional to 261,946.41 and 565,212.94 is: 1,219,584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,946.41 : 565,212.94 = 565,212.94 : x
  2. Step 2: Convert to fraction form
    261,946.41/565,212.94 = 565,212.94/x
  3. Step 3: Cross multiply
    261,946.41x = 565,212.94 × 565,212.94
  4. Step 4: Simplify right side
    261,946.41x = 319,465,664,717.38
  5. Step 5: Solve for x
    x = 319,465,664,717.38/261,946.41
  6. Step 6: Final answer
    x = 1,219,584.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.