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Finding the Third Proportional to 427,713 and 597,967

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Solution

The third proportional to 427,713 and 597,967 is: 835,991.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,713 : 597,967 = 597,967 : x
  2. Step 2: Convert to fraction form
    427,713/597,967 = 597,967/x
  3. Step 3: Cross multiply
    427,713x = 597,967 × 597,967
  4. Step 4: Simplify right side
    427,713x = 357,564,533,089
  5. Step 5: Solve for x
    x = 357,564,533,089/427,713
  6. Step 6: Final answer
    x = 835,991.74

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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.