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Finding the Third Proportional to 350,507 and 762,524

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Solution

The third proportional to 350,507 and 762,524 is: 1,658,862.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,507 : 762,524 = 762,524 : x
  2. Step 2: Convert to fraction form
    350,507/762,524 = 762,524/x
  3. Step 3: Cross multiply
    350,507x = 762,524 × 762,524
  4. Step 4: Simplify right side
    350,507x = 581,442,850,576
  5. Step 5: Solve for x
    x = 581,442,850,576/350,507
  6. Step 6: Final answer
    x = 1,658,862.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.