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Finding the Third Proportional to 519,912 and 695,421

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Solution

The third proportional to 519,912 and 695,421 is: 930,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,912 : 695,421 = 695,421 : x
  2. Step 2: Convert to fraction form
    519,912/695,421 = 695,421/x
  3. Step 3: Cross multiply
    519,912x = 695,421 × 695,421
  4. Step 4: Simplify right side
    519,912x = 483,610,367,241
  5. Step 5: Solve for x
    x = 483,610,367,241/519,912
  6. Step 6: Final answer
    x = 930,177.35

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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.