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Finding the Third Proportional to 519,916 and 695,427

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Solution

The third proportional to 519,916 and 695,427 is: 930,186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,916 : 695,427 = 695,427 : x
  2. Step 2: Convert to fraction form
    519,916/695,427 = 695,427/x
  3. Step 3: Cross multiply
    519,916x = 695,427 × 695,427
  4. Step 4: Simplify right side
    519,916x = 483,618,712,329
  5. Step 5: Solve for x
    x = 483,618,712,329/519,916
  6. Step 6: Final answer
    x = 930,186.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.