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Finding the Third Proportional to 410,190 and 620,952

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Solution

The third proportional to 410,190 and 620,952 is: 940,006.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,190 : 620,952 = 620,952 : x
  2. Step 2: Convert to fraction form
    410,190/620,952 = 620,952/x
  3. Step 3: Cross multiply
    410,190x = 620,952 × 620,952
  4. Step 4: Simplify right side
    410,190x = 385,581,386,304
  5. Step 5: Solve for x
    x = 385,581,386,304/410,190
  6. Step 6: Final answer
    x = 940,006.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.