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Finding the Third Proportional to 351,006 and 758,001.75

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Solution

The third proportional to 351,006 and 758,001.75 is: 1,636,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,006 : 758,001.75 = 758,001.75 : x
  2. Step 2: Convert to fraction form
    351,006/758,001.75 = 758,001.75/x
  3. Step 3: Cross multiply
    351,006x = 758,001.75 × 758,001.75
  4. Step 4: Simplify right side
    351,006x = 574,566,653,003.06
  5. Step 5: Solve for x
    x = 574,566,653,003.06/351,006
  6. Step 6: Final answer
    x = 1,636,914.05

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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.