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Finding the Third Proportional to 427,779 and 598,097.25

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Solution

The third proportional to 427,779 and 598,097.25 is: 836,226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,779 : 598,097.25 = 598,097.25 : x
  2. Step 2: Convert to fraction form
    427,779/598,097.25 = 598,097.25/x
  3. Step 3: Cross multiply
    427,779x = 598,097.25 × 598,097.25
  4. Step 4: Simplify right side
    427,779x = 357,720,320,457.56
  5. Step 5: Solve for x
    x = 357,720,320,457.56/427,779
  6. Step 6: Final answer
    x = 836,226.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.