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Finding the Third Proportional to 533,060 and 762,281

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Solution

The third proportional to 533,060 and 762,281 is: 1,090,069.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,060 : 762,281 = 762,281 : x
  2. Step 2: Convert to fraction form
    533,060/762,281 = 762,281/x
  3. Step 3: Cross multiply
    533,060x = 762,281 × 762,281
  4. Step 4: Simplify right side
    533,060x = 581,072,322,961
  5. Step 5: Solve for x
    x = 581,072,322,961/533,060
  6. Step 6: Final answer
    x = 1,090,069.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.