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Finding the Third Proportional to 345,602 and 757,633

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Solution

The third proportional to 345,602 and 757,633 is: 1,660,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,602 : 757,633 = 757,633 : x
  2. Step 2: Convert to fraction form
    345,602/757,633 = 757,633/x
  3. Step 3: Cross multiply
    345,602x = 757,633 × 757,633
  4. Step 4: Simplify right side
    345,602x = 574,007,762,689
  5. Step 5: Solve for x
    x = 574,007,762,689/345,602
  6. Step 6: Final answer
    x = 1,660,892.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.