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Finding the Third Proportional to 350,352 and 766,131

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Solution

The third proportional to 350,352 and 766,131 is: 1,675,334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,352 : 766,131 = 766,131 : x
  2. Step 2: Convert to fraction form
    350,352/766,131 = 766,131/x
  3. Step 3: Cross multiply
    350,352x = 766,131 × 766,131
  4. Step 4: Simplify right side
    350,352x = 586,956,709,161
  5. Step 5: Solve for x
    x = 586,956,709,161/350,352
  6. Step 6: Final answer
    x = 1,675,334.26

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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.