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Finding the Third Proportional to 351,902 and 767,316

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Solution

The third proportional to 351,902 and 767,316 is: 1,673,118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,902 : 767,316 = 767,316 : x
  2. Step 2: Convert to fraction form
    351,902/767,316 = 767,316/x
  3. Step 3: Cross multiply
    351,902x = 767,316 × 767,316
  4. Step 4: Simplify right side
    351,902x = 588,773,843,856
  5. Step 5: Solve for x
    x = 588,773,843,856/351,902
  6. Step 6: Final answer
    x = 1,673,118.78

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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.