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Finding the Third Proportional to 427,768 and 598,024

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Solution

The third proportional to 427,768 and 598,024 is: 836,043.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,768 : 598,024 = 598,024 : x
  2. Step 2: Convert to fraction form
    427,768/598,024 = 598,024/x
  3. Step 3: Cross multiply
    427,768x = 598,024 × 598,024
  4. Step 4: Simplify right side
    427,768x = 357,632,704,576
  5. Step 5: Solve for x
    x = 357,632,704,576/427,768
  6. Step 6: Final answer
    x = 836,043.61

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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.