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Finding the Third Proportional to 350,583 and 753,532

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Solution

The third proportional to 350,583 and 753,532 is: 1,619,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,583 : 753,532 = 753,532 : x
  2. Step 2: Convert to fraction form
    350,583/753,532 = 753,532/x
  3. Step 3: Cross multiply
    350,583x = 753,532 × 753,532
  4. Step 4: Simplify right side
    350,583x = 567,810,475,024
  5. Step 5: Solve for x
    x = 567,810,475,024/350,583
  6. Step 6: Final answer
    x = 1,619,617.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.