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Finding the Third Proportional to 435,775 and 636,937

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Solution

The third proportional to 435,775 and 636,937 is: 930,959.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,775 : 636,937 = 636,937 : x
  2. Step 2: Convert to fraction form
    435,775/636,937 = 636,937/x
  3. Step 3: Cross multiply
    435,775x = 636,937 × 636,937
  4. Step 4: Simplify right side
    435,775x = 405,688,741,969
  5. Step 5: Solve for x
    x = 405,688,741,969/435,775
  6. Step 6: Final answer
    x = 930,959.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.