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Finding the Third Proportional to 350,672 and 766,952

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Solution

The third proportional to 350,672 and 766,952 is: 1,677,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,672 : 766,952 = 766,952 : x
  2. Step 2: Convert to fraction form
    350,672/766,952 = 766,952/x
  3. Step 3: Cross multiply
    350,672x = 766,952 × 766,952
  4. Step 4: Simplify right side
    350,672x = 588,215,370,304
  5. Step 5: Solve for x
    x = 588,215,370,304/350,672
  6. Step 6: Final answer
    x = 1,677,394.75

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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.