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Finding the Third Proportional to 351,020 and 758,077

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Solution

The third proportional to 351,020 and 758,077 is: 1,637,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,020 : 758,077 = 758,077 : x
  2. Step 2: Convert to fraction form
    351,020/758,077 = 758,077/x
  3. Step 3: Cross multiply
    351,020x = 758,077 × 758,077
  4. Step 4: Simplify right side
    351,020x = 574,680,737,929
  5. Step 5: Solve for x
    x = 574,680,737,929/351,020
  6. Step 6: Final answer
    x = 1,637,173.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.