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Finding the Third Proportional to 261,221.63 and 533,513.25

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Solution

The third proportional to 261,221.63 and 533,513.25 is: 1,089,635.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,221.63 : 533,513.25 = 533,513.25 : x
  2. Step 2: Convert to fraction form
    261,221.63/533,513.25 = 533,513.25/x
  3. Step 3: Cross multiply
    261,221.63x = 533,513.25 × 533,513.25
  4. Step 4: Simplify right side
    261,221.63x = 284,636,387,925.56
  5. Step 5: Solve for x
    x = 284,636,387,925.56/261,221.63
  6. Step 6: Final answer
    x = 1,089,635.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.