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Finding the Third Proportional to 355,687.50 and 533,541

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Solution

The third proportional to 355,687.50 and 533,541 is: 800,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,687.50 : 533,541 = 533,541 : x
  2. Step 2: Convert to fraction form
    355,687.50/533,541 = 533,541/x
  3. Step 3: Cross multiply
    355,687.50x = 533,541 × 533,541
  4. Step 4: Simplify right side
    355,687.50x = 284,665,998,681
  5. Step 5: Solve for x
    x = 284,665,998,681/355,687.50
  6. Step 6: Final answer
    x = 800,326.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.