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Finding the Third Proportional to 350,354 and 766,141

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Solution

The third proportional to 350,354 and 766,141 is: 1,675,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,354 : 766,141 = 766,141 : x
  2. Step 2: Convert to fraction form
    350,354/766,141 = 766,141/x
  3. Step 3: Cross multiply
    350,354x = 766,141 × 766,141
  4. Step 4: Simplify right side
    350,354x = 586,972,031,881
  5. Step 5: Solve for x
    x = 586,972,031,881/350,354
  6. Step 6: Final answer
    x = 1,675,368.43

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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.