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Finding the Third Proportional to 427,796 and 598,119

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Solution

The third proportional to 427,796 and 598,119 is: 836,254.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,796 : 598,119 = 598,119 : x
  2. Step 2: Convert to fraction form
    427,796/598,119 = 598,119/x
  3. Step 3: Cross multiply
    427,796x = 598,119 × 598,119
  4. Step 4: Simplify right side
    427,796x = 357,746,338,161
  5. Step 5: Solve for x
    x = 357,746,338,161/427,796
  6. Step 6: Final answer
    x = 836,254.52

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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.